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Sommese, Andrew John

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Author ID: sommese.andrew-john Recent zbMATH articles by "Sommese, Andrew John"
Published as: Sommese, Andrew J.; Sommese, Andrew John; Sommese, A. J.; Sommese, Andrew
Homepage: http://www3.nd.edu/~sommese/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 215 Publications since 1973, including 5 Books
5 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 72 Co-Authors with 181 Joint Publications
2,068 Co-Co-Authors
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Serials

12 Mathematische Annalen
11 Applied Mathematics and Computation
9 Transactions of the American Mathematical Society
8 Journal für die Reine und Angewandte Mathematik
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 SIAM Journal on Numerical Analysis
5 Commentarii Mathematici Helvetici
5 Journal of the Mathematical Society of Japan
5 Mathematica Scandinavica
5 Nagoya Mathematical Journal
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 ACM Transactions on Mathematical Software
4 Proceedings of the American Mathematical Society
4 Journal of Complexity
3 Communications in Algebra
3 Archiv der Mathematik
3 Duke Mathematical Journal
3 Journal of Computational and Applied Mathematics
3 Journal of Symbolic Computation
3 Forum Mathematicum
2 Arkiv för Matematik
2 Journal of Pure and Applied Algebra
2 Mathematische Zeitschrift
2 Numerische Mathematik
2 Journal of Scientific Computing
2 International Journal of Mathematics
2 Numerical Algorithms
2 Bulletin of the American Mathematical Society
1 Journal of Computational Physics
1 Mathematics of Computation
1 Computing
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Mathematics of Kyoto University
1 Kodai Mathematical Journal
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Theoretical Computer Science
1 Advances in Applied Mathematics
1 Proceedings of the National Academy of Sciences of the United States of America
1 Experimental Mathematics
1 Kyushu Journal of Mathematics
1 Journal of Mathematical Sciences. University of Tokyo
1 Mechanism and Machine Theory
1 Revista Matemática Complutense
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Journal of Algebra and its Applications
1 Acta Numerica
1 Journal of Statistical Mechanics: Theory and Experiment
1 Contemporary Mathematics
1 De Gruyter Expositions in Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Institut Élie Cartan, Université de Nancy I
1 Lecture Notes in Computer Science
1 Lecture Notes in Mathematics
1 Progress in Mathematics
1 Software - Environments - Tools
1 Journal of Physics A: Mathematical and Theoretical
1 Discrete and Continuous Dynamical Systems. Series S
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SIAM Journal on Applied Algebra and Geometry

Publications by Year

Citations contained in zbMATH Open

192 Publications have been cited 2,442 times in 1,170 Documents Cited by Year
The numerical solution of systems of polynomials. Arising in engineering and science. Zbl 1091.65049
Sommese, Andrew J.; Wampler, Charles W. II
183
2005
The adjunction theory of complex projective varieties. Zbl 0845.14003
Beltrametti, Mauro C.; Sommese, Andrew J.
139
1995
Numerically solving polynomial systems with Bertini. Zbl 1295.65057
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
77
2013
Submanifolds of Abelian varieties. Zbl 0381.14007
Sommese, Andrew John
70
1978
Vanishing theorems on complex manifolds. Zbl 0578.32055
Shiffman, Bernard; Sommese, Andrew John
70
1985
Hyperplane sections of projective surfaces. I: The adjunction mapping. Zbl 0415.14019
Sommese, Andrew John
65
1979
On the adjunction mapping. Zbl 0655.14001
Sommese, Andrew John; Van de Ven, A.
62
1987
A homotopy for solving general polynomial systems that respects m- homogeneous structures. Zbl 0635.65057
Morgan, Alexander; Sommese, Andrew
52
1987
Coefficient-parameter polynomial continuation. Zbl 0664.65049
Morgan, Alexander P.; Sommese, Andrew J.
49
1989
Software for numerical algebraic geometry: a paradigm and progress towards its implementation. Zbl 1143.65344
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
49
2008
On Reider’s method and higher order embeddings. Zbl 0702.14010
Beltrametti, M.; Francia, P.; Sommese, A. J.
43
1989
Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
42
2001
Adaptive multiprecision path tracking. Zbl 1162.65026
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W.
38
2008
Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
37
2011
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
34
2012
Zero cycles and \(k\)-th order embeddings of smooth projective surfaces. Appendix by Lothar Göttsche: Identification of very ample line bundles on \(S^{(r)}\). Zbl 0827.14029
Beltrametti, M.; Sommese, A. J.
31
1991
Computing all solutions to polynomial systems using homotopy continuation. Zbl 0635.65058
Morgan, Alexander; Sommese, Andrew
30
1987
On the adjunction theoretic structure of projective varieties. Zbl 0601.14029
Sommese, Andrew John
29
1986
Symmetric functions applied to decomposing solution sets of polynomial systems. Zbl 1034.65034
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
28
2002
Witness sets of projections. Zbl 1203.14072
Hauenstein, Jonathan D.; Sommese, Andrew J.
25
2010
Numerical algebraic geometry. Zbl 0856.65054
Sommese, Andrew J.; Wampler, Charles W.
24
1996
On the minimality of hyperplane sections of projective threefolds. Zbl 0509.14044
Sommese, Andrew John
24
1981
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
24
2012
On manifolds that cannot be ample divisors. Zbl 0306.14006
Sommese, Andrew John
23
1976
Results on varieties with many lines and their applications to adjunction theory. (Appendix by Mauro C. Beltrametti and Andrew J. Sommese: Applications to adjunction theory). Zbl 0777.14012
Beltrametti, Mauro C.; Sommese, Andrew J.; Wiśniewski, Jarosław A.
22
1992
Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051
Sommese, A. J.; Verschelde, J.; Wampler, C. W.
22
2001
A numerical local dimension test for points on the solution set of a system of polynomial equations. Zbl 1211.14066
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
21
2009
Numerical homotopies to compute generic points on positive dimensional algebraic sets. Zbl 0982.65070
Sommese, Andrew J.; Verschelde, Jan
21
2000
Quaternionic manifolds. Zbl 0299.53023
Sommese, Andrew John
21
1975
Stepsize control for path tracking. Zbl 1181.65071
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
20
2009
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao
20
2013
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
2014
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
2011
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
19
2013
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
18
2011
On the adjunction theoretic classification of polarized varieties. Zbl 0762.14005
Beltrametti, Mauro C.; Sommese, Andrew J.
17
1992
Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
17
2011
Finding all isolated solutions to polynomial systems using HOMPACK. Zbl 0900.65151
Morgan, Alexander P.; Sommese, Andrew J.; Watson, Layne T.
17
1989
Complex subspaces of homogeneous complex manifolds. II. Homotopy results. Zbl 0497.32026
Sommese, Andrew John
17
1982
Homotopy groups of pullbacks of varieties. Zbl 0564.14010
Sommese, Andrew John; van de Ven, A.
17
1986
A power series method for computing singular solutions to nonlinear analytic systems. Zbl 0756.65079
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W.
16
1992
On \(k\)-jet ampleness. Zbl 0806.14014
Beltrametti, Mauro C.; Sommese, Andrew J.
16
1993
Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
16
2011
Computing singular solutions to nonlinear analytic systems. Zbl 0721.65027
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W.
16
1991
Some topological aspects of C* actions on compact Kaehler manifolds. Zbl 0466.32015
Carrell, James B.; Sommese, Andrew John
15
1979
On the density of ratios of Chern classes of algebraic surfaces. Zbl 0521.14016
Sommese, Andrew J.
14
1984
On the theorem of de Franchis. Zbl 0534.14016
Howard, Alan; Sommese, Andrew J.
14
1983
On the preservation of \(k\)-very ampleness under adjunction. Zbl 0806.14015
Beltrametti, Mauro C.; Sommese, Andrew J.
14
1993
Invariant curves for birational surface maps. Zbl 1115.14007
Diller, Jeffrey; Jackson, Daniel; Sommese, Andrew
14
2007
On the discriminant variety of a projective manifold. Zbl 0780.14023
Beltrametti, Mauro C.; Fania, M. Lucia; Sommese, Andrew J.
13
1992
On k-spannedness for projective surfaces. Zbl 0706.14007
Beltrametti, Mauro; Sommese, Andrew J.
13
1990
Notes on embeddings of blowups. Zbl 0881.14007
Beltrametti, Mauro C.; Sommese, Andrew J.
13
1996
Finding all real points of a complex curve. Zbl 1136.65050
Lu, Ye; Bates, Daniel J.; Sommese, Andrew J.; Wampler, Charles W.
13
2007
Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
13
2014
Computing singular solutions to polynomial systems. Zbl 0764.65030
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W.
12
1992
A vector bundle characterization of \({\mathbb{P}}^ n\). Zbl 0701.14050
Lanteri, A.; Sommese, A. J.
12
1988
Projective n-folds of log-general type. I. Zbl 0702.14037
Beltrametti, M.; Biancofiore, A.; Sommese, A. J.
12
1989
Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066
Hauenstein, Jonathan D.; Sommese, Andrew J.
12
2013
Numerical irreducible decomposition using projections from points on the components. Zbl 1061.68593
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
12
2001
A product-decomposition bound for Bézout numbers. Zbl 0854.65038
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W.
12
1995
Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019
Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J.
12
2019
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. Zbl 1100.65046
Bates, Dan; Peterson, Chris; Sommese, Andrew J.
12
2006
New properties of special varieties arising from adjunction theory. Zbl 0754.14027
Beltrametti, Mauro C.; Sommese, Andrew J.
11
1991
On the adjunction theoretic classification of projective varieties. Zbl 0712.14029
Beltrametti, Mauro C.; Fania, M. Lucia; Sommese, Andrew J.
11
1991
On the dimension of the adjoint linear system for threefolds. Zbl 0857.14001
Beltrametti, M. C.; Sommese, A. J.
11
1995
Comparing the classical and the adjunction-theoretic definition of scrolls. Zbl 0937.14027
Beltrametti, M. C.; Sommese, A. J.
11
1993
Solution of polynomial systems derived from differential equations. Zbl 1086.65075
Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W.
11
2006
Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
11
2004
Threefolds of non-negative Kodaira dimension with sectional genus less than or equal to 15. Zbl 0636.14014
Livorni, Elvira Laura; Sommese, Andrew John
10
1986
Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. Zbl 1137.65353
Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T.
10
2000
On the discriminant locus of an ample and spanned line bundle. – Appendix: On the nefness of the Chern classes of the first jet bundle. Zbl 0851.14002
Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J.
10
1996
Numerical factorization of multivariate complex polynomials. Zbl 1147.13302
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
10
2004
Recovering exact results from inexact numerical data in algebraic geometry. Zbl 1284.14084
Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J.
10
2013
Quotients by \({\mathbb{C}}^*\) and SL(2,\({\mathbb{C}})\) actions. Zbl 0566.32026
Białynicki-Birula, Andrzej; Sommese, Andrew John
10
1983
Introduction to numerical algebraic geometry. Zbl 1152.14313
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
10
2005
Projective contact manifolds. Zbl 0994.53024
Kebekus, Stefan; Peternell, Thomas; Sommese, Andrew J.; Wiśniewski, Jarosław A.
9
2000
Hilbert curves of polarized varieties. Zbl 1206.14018
Beltrametti, M. C.; Lanteri, A.; Sommese, A. J.
9
2010
C*-actions. Zbl 0416.32022
Carrell, James B.; Sommese, Andrew John
9
1978
Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity. Zbl 1341.82022
Gainutdinov, Azat M.; Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J.
9
2015
Del Pezzo surfaces as hyperplane sections. Zbl 0930.14025
Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J.
8
1997
On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold. Zbl 0675.14005
Sommese, Andrew J.
8
1989
Applications of the Ein-Lazarsfeld criterion for spannedness of adjoint bundles. Zbl 0804.14006
Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J.
8
1993
Chern inequalities and spannedness of adjoint bundles. Zbl 0870.14009
Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J.
8
1996
Cell decomposition of almost smooth real algebraic surfaces. Zbl 1271.65031
Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
8
2013
Criteria for quasi-projectivity. Zbl 0338.14011
Sommese, Andrew John
8
1975
Threefolds of degree 9 and 10 in \({\mathbb{P}}^ 5\). Zbl 0723.14033
Beltrametti, Mauro C.; Schneider, Michael; Sommese, A. J.
8
1990
Solving polynomial systems equation by equation. Zbl 1136.65052
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
8
2008
Borel’s fixed point theorem for Kaehler manifolds and an application. Zbl 0244.32013
Sommese, Andrew J.
8
1973
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058
Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang
7
2013
Very ampleness of \(K_ x\otimes {\mathcal L}^{\dim \,{\mathbf{X}}}\) for ample and spanned line bundles \({\mathcal L}\). Zbl 0715.14005
Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew John
7
1989
Projective surfaces with \(k\)-very ample line bundles of degree \(\leq 4k + 4\). Zbl 0841.14033
Ballico, Edoardo; Sommese, Andrew J.
7
1994
Line bundles for which a projectivized jet bundle is a product. Zbl 0962.14008
Di Rocco, Sandra; Sommese, Andrew J.
7
2001
An intrinsic homotopy for intersecting algebraic varieties. Zbl 1108.13309
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
7
2005
On the orders of the automorphism groups of certain projective manifolds. Zbl 0483.32016
Howard, Alan; Sommese, Andrew John
7
1981
Some algebraic properties of the image of the period mapping. Zbl 0271.14004
Sommese, Andrew J.
7
1973
Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012
Hao, Wenrui; Hu, Bei; Sommese, Andrew J.
7
2013
Chern numbers of smooth varieties via homotopy continuation and intersection theory. Zbl 1200.14014
Di Rocco, Sandra; Eklund, David; Peterson, Chris; Sommese, Andrew J.
6
2011
Ample vector bundles and branched coverings. Zbl 0982.14025
Peternell, Thomas; Sommese, Andrew J.
6
2000
Theorems of Barth-Lefschetz type for complex subspaces of homogeneous complex manifolds. Zbl 0354.32035
Sommese, Andrew John
6
1977
Concavity theorems. Zbl 0381.14008
Sommese, Andrew John
6
1978
Homotopy techniques for tensor decomposition and perfect identifiability. Zbl 1440.15019
Hauenstein, Jonathan D.; Oeding, Luke; Ottaviani, Giorgio; Sommese, Andrew J.
12
2019
Algorithm 976: Bertini\(_-\)real: numerical decomposition of real algebraic curves and surfaces. Zbl 06920072
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
5
2017
Foreword. What is numerical algebraic geometry? Zbl 1360.00098
4
2017
Perturbation results on the zero-locus of a polynomial. Zbl 1354.65093
Torrente, Maria-Laura; Beltrametti, Mauro C.; Sommese, Andrew J.
2
2017
Homotopies for connected components of algebraic sets with application to computing critical sets. Zbl 07036046
Bates, Daniel J.; Brake, Dani A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
1
2017
Numerical local irreducible decomposition. Zbl 1460.14131
Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.
1
2016
Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity. Zbl 1341.82022
Gainutdinov, Azat M.; Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J.
9
2015
Vibrations of thin plates with small clamped patches. Zbl 1371.35285
Lindsay, A. E.; Hao, W.; Sommese, A. J.
4
2015
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
2014
Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
13
2014
Numerical computation of the Hilbert function and regularity of a zero dimensional scheme. Zbl 1315.13032
Griffin, Zachary A.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
4
2014
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Zbl 1410.65205
Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W.
4
2014
Singular solutions, repeated roots and completeness for higher-spin chains. Zbl 1456.82268
Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J.
2
2014
On computing a cell decomposition of a real surface containing infinitely many singularities. Zbl 1437.14061
Bates, Daniel J.; Brake, Daniel A.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
2
2014
Adjunction and singular loci of hyperplane sections. II. Zbl 1371.14009
Beltrametti, M. C.; Lanteri, A.; Sommese, A. J.
1
2014
Numerically solving polynomial systems with Bertini. Zbl 1295.65057
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
77
2013
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao
20
2013
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
19
2013
Membership tests for images of algebraic sets by linear projections. Zbl 1285.14066
Hauenstein, Jonathan D.; Sommese, Andrew J.
12
2013
Recovering exact results from inexact numerical data in algebraic geometry. Zbl 1284.14084
Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J.
10
2013
Cell decomposition of almost smooth real algebraic surfaces. Zbl 1271.65031
Besana, Gian Mario; Di Rocco, Sandra; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
8
2013
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058
Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang
7
2013
Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012
Hao, Wenrui; Hu, Bei; Sommese, Andrew J.
7
2013
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
34
2012
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
24
2012
Regeneration homotopies for solving systems of polynomials. Zbl 1221.65121
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
37
2011
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
19
2011
Efficient path tracking methods. Zbl 1230.65059
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
18
2011
Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
17
2011
Regenerative cascade homotopies for solving polynomial systems. Zbl 1231.65190
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
16
2011
Chern numbers of smooth varieties via homotopy continuation and intersection theory. Zbl 1200.14014
Di Rocco, Sandra; Eklund, David; Peterson, Chris; Sommese, Andrew J.
6
2011
Numerical computation of the genus of an irreducible curve within an algebraic set. Zbl 1211.14062
Bates, Daniel J.; Peterson, Chris; Sommese, Andrew J.; Wampler, Charles W.
6
2011
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
5
2011
Mechanism mobility and a local dimension test. Zbl 1273.70004
Wampler, Charles W.; Hauenstein, Jonathan D.; Sommese, Andrew J.
5
2011
A parallel endgame. Zbl 1238.14007
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.
4
2011
Witness sets of projections. Zbl 1203.14072
Hauenstein, Jonathan D.; Sommese, Andrew J.
25
2010
Hilbert curves of polarized varieties. Zbl 1206.14018
Beltrametti, M. C.; Lanteri, A.; Sommese, A. J.
9
2010
Algebraic \(\mathbb C^*\)-actions and the inverse kinematics of a general 6R manipulator. Zbl 1208.65028
Di Rocco, Sandra; Eklund, David; Sommese, Andrew J.; Wampler, Charles W.
2
2010
A numerical local dimension test for points on the solution set of a system of polynomial equations. Zbl 1211.14066
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
21
2009
Stepsize control for path tracking. Zbl 1181.65071
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
20
2009
Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. Zbl 1191.14071
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J.
5
2009
Numerical computation of the dimensions of the cohomology of twists of ideal sheaves. Zbl 1185.14041
Hauenstein, Jonathan D.; Migliore, Juan C.; Peterson, Chris; Sommese, Andrew J.
2
2009
Software for numerical algebraic geometry: a paradigm and progress towards its implementation. Zbl 1143.65344
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II
49
2008
Adaptive multiprecision path tracking. Zbl 1162.65026
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W.
38
2008
Solving polynomial systems equation by equation. Zbl 1136.65052
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
8
2008
Exceptional sets and fiber products. Zbl 1151.14041
Sommese, Andrew J.; Wampler, Charles W.
6
2008
Invariant curves for birational surface maps. Zbl 1115.14007
Diller, Jeffrey; Jackson, Daniel; Sommese, Andrew
14
2007
Finding all real points of a complex curve. Zbl 1136.65050
Lu, Ye; Bates, Daniel J.; Sommese, Andrew J.; Wampler, Charles W.
13
2007
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. Zbl 1100.65046
Bates, Dan; Peterson, Chris; Sommese, Andrew J.
12
2006
Solution of polynomial systems derived from differential equations. Zbl 1086.65075
Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W.
11
2006
The numerical solution of systems of polynomials. Arising in engineering and science. Zbl 1091.65049
Sommese, Andrew J.; Wampler, Charles W. II
183
2005
Introduction to numerical algebraic geometry. Zbl 1152.14313
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
10
2005
An intrinsic homotopy for intersecting algebraic varieties. Zbl 1108.13309
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
7
2005
Notes on very ample vector bundles on 3-folds. Zbl 1093.14061
Maeda, Hidetoshi; Sommese, Andrew J.
2
2005
Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
11
2004
Numerical factorization of multivariate complex polynomials. Zbl 1147.13302
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
10
2004
Ample vector bundles and branched coverings, II. Zbl 1071.14018
Peternell, Thomas; Sommese, Andrew J.
4
2004
Chern numbers of ample vector bundles on toric surfaces. Zbl 1023.14026
Di Rocco, Sandra; Sommese, Andrew J.
3
2004
Numerical irreducible decomposition. Zbl 1027.65066
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
4
2003
Ample vector bundles with zero loci having a hyperelliptic curve section. Zbl 1050.14034
Lanteri, Antonio; Sommese, Andrew J.
3
2003
Symmetric functions applied to decomposing solution sets of polynomial systems. Zbl 1034.65034
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
28
2002
A method for tracking singular paths with application to the numerical irreducible decomposition. Zbl 1014.65035
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
5
2002
Very ample vector bundles of curve genus two. Zbl 1001.14015
Maeda, Hidetoshi; Sommese, Andrew J.
3
2002
Reducible hyperplane sections. II. Zbl 1048.14019
Beltrametti, M. C.; Chandler, K. A.; Sommese, A. J.
3
2002
Piecewise linear approximation of smooth compact fibers. Zbl 1028.65054
Allgower, Eugene L.; Sommese, Andrew J.
1
2002
Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
42
2001
Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051
Sommese, A. J.; Verschelde, J.; Wampler, C. W.
22
2001
Numerical irreducible decomposition using projections from points on the components. Zbl 1061.68593
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
12
2001
Line bundles for which a projectivized jet bundle is a product. Zbl 0962.14008
Di Rocco, Sandra; Sommese, Andrew J.
7
2001
On the bicanonical map of a surface section of a threefold. Zbl 1082.14521
Beltrametti, M. C.; Sommese, A. J.
1
2001
Numerical homotopies to compute generic points on positive dimensional algebraic sets. Zbl 0982.65070
Sommese, Andrew J.; Verschelde, Jan
21
2000
Algorithm 801: POLSYS_PLP. A partitioned linear product homotopy code for solving polynomial systems of equations. Zbl 1137.65353
Wise, Steven M.; Sommese, Andrew J.; Watson, Layne T.
10
2000
Projective contact manifolds. Zbl 0994.53024
Kebekus, Stefan; Peternell, Thomas; Sommese, Andrew J.; Wiśniewski, Jarosław A.
9
2000
Ample vector bundles and branched coverings. Zbl 0982.14025
Peternell, Thomas; Sommese, Andrew J.
6
2000
Discriminant loci of varieties with smooth normalization. Zbl 0976.14007
Lanteri, A.; Palleschi, M.; Sommese, A. J.
4
2000
Projective manifolds with small pluridegrees. Zbl 0954.14005
Beltrametti, Mauro C.; Sommese, Andrew J.
3
2000
Projections from subvarieties. Zbl 1078.14008
Beltrametti, Mauro C.; Howard, Alan; Schneider, Michael; Sommese, Andrew J.
1
2000
Kodaira dimension of subvarieties. Zbl 1077.14515
Peternell, Thomas; Schneider, Michael; Sommese, Andrew J.
4
1999
Reducible hyperplane sections. I. Zbl 0973.14018
Chandler, Karen A.; Howard, Alan; Sommese, Andrew J.
4
1999
On the degree and the birationality of the second adjunction mapping. Zbl 1067.14517
Beltrametti, Mauro C.; Sommese, Andrew J.
3
1999
On generation of jets for vector bundles. Zbl 0962.14009
Beltrametti, Mauro C.; Di Rocco, Sandra; Sommese, Andrew J.
2
1999
On higher order embeddings of Fano threefolds by the anticanoncial linear system. Zbl 0937.14028
Beltrametti, Mauro C.; Di Rocco, Sandra; Sommese, Andrew J.
3
1998
Del Pezzo surfaces as hyperplane sections. Zbl 0930.14025
Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J.
8
1997
On the second adjunction mapping. The case of a 1-dimensional image. Zbl 0890.14005
Beltrametti, Mauro C.; Sommese, Andrew J.
4
1997
What we know about the second adjunction mapping. Zbl 1011.14015
Sommese, Andrew J.
2
1997
On the second adjunction mapping and the very ampleness of the triadjoint bundle. Zbl 0901.14003
Beltrametti, Mauro C.; Sommese, Andrew J.
1
1997
Numerical algebraic geometry. Zbl 0856.65054
Sommese, Andrew J.; Wampler, Charles W.
24
1996
Notes on embeddings of blowups. Zbl 0881.14007
Beltrametti, Mauro C.; Sommese, Andrew J.
13
1996
On the discriminant locus of an ample and spanned line bundle. – Appendix: On the nefness of the Chern classes of the first jet bundle. Zbl 0851.14002
Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J.
10
1996
Chern inequalities and spannedness of adjoint bundles. Zbl 0870.14009
Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J.
8
1996
Ample and spanned vector bundles of minimal curve genus. Zbl 0853.14022
Lanteri, Antonio; Maeda, Hidetoshi; Sommese, Andrew J.
5
1996
The adjunction theory of complex projective varieties. Zbl 0845.14003
Beltrametti, Mauro C.; Sommese, Andrew J.
139
1995
A product-decomposition bound for Bézout numbers. Zbl 0854.65038
Morgan, Alexander P.; Sommese, Andrew J.; Wampler, Charles W.
12
1995
On the dimension of the adjoint linear system for threefolds. Zbl 0857.14001
Beltrametti, M. C.; Sommese, A. J.
11
1995
Double covers of \(\mathbb{P}^ n\) as very ample divisors. Zbl 0820.14005
Lanteri, Antonio; Palleschi, Marino; Sommese, Andrew J.
4
1995
Some special properties of the adjunction theory for 3-folds in \(\mathbb{P}^ 5\). Zbl 0836.14023
Beltrametti, Mauro C.; Schneider, Michael; Sommese, Andrew J.
4
1995
Projective surfaces with \(k\)-very ample line bundles of degree \(\leq 4k + 4\). Zbl 0841.14033
Ballico, Edoardo; Sommese, Andrew J.
7
1994
On triple covers of \(\mathbb{P}^ n\) as very ample divisors. Zbl 0841.14003
Lanteri, A.; Palleschi, M.; Sommese, A. J.
5
1994
On the dimension of the adjoint linear system for quadric fibrations. Zbl 0848.14002
Beltrametti, M. C.; Besana, G. M.; Sommese, A. J.
2
1994
Remarks on numerically positive and big line bundles. Zbl 0834.14008
Beltrametti, Mauro C.; Sommese, Andrew J.
2
1994
...and 92 more Documents
all top 5

Cited by 1,169 Authors

74 Sommese, Andrew John
55 Lanteri, Antonio
45 Hauenstein, Jonathan D.
32 Fukuma, Yoshiaki
29 Beltrametti, Mauro C.
26 Ballico, Edoardo
22 Hao, Wenrui
18 Peternell, Thomas Martin
18 Wampler, Charles W. II
17 Andreatta, Marco
16 Di Rocco, Sandra
16 Fania, Maria Lucia
16 Verschelde, Jan
15 Sottile, Frank
13 Hu, Bei
12 Bates, Daniel J.
12 Leykin, Anton
11 Occhetta, Gianluca
11 Sturmfels, Bernd
10 Novelli, Carla
10 Peterson, Chris
10 Rodriguez, Jose Israel
10 Wu, Wenyuan
9 Schneider, Michael
9 Tironi, Andrea Luigi
9 Wiśńiewski, Jarosław Antoni
8 Kebekus, Stefan
8 Mehta, Dhagash
7 Besana, Gian Mario
7 Ciliberto, Ciro
7 Ein, Lawrence Man Hon
7 Eklund, David
7 Livorni, Elvira Laura
7 Morgan, Alexander P.
7 Ottaviani, Giorgio Maria
7 Palleschi, Marino
7 Szemberg, Tomasz
6 Badescu, Lucian
6 Biancofiore, Aldo
6 Chiantini, Luca
6 Chu, Moody T.
6 Flamini, Flaminio
6 Fujita, Takao
6 Galligo, André
6 Helmer, Martin
6 Laytimi, Fatima
6 Lopez, Angelo Felice
6 Mourrain, Bernard
6 Muñoz, Roberto
5 Bai, Fengshan
5 Bernardi, Alessandra
5 Catanese, Fabrizio M. E.
5 Chen, Tianran
5 Greb, Daniel
5 Höring, Andreas
5 Hwang, Jun-Muk
5 Ionescu, Paltin
5 Jeronimo, Gabriela
5 Lazarsfeld, Robert Kendall
5 Mallavibarrena, Raquel
5 Mella, Massimiliano
5 Niemerg, Matthew E.
5 Ranestad, Kristian
5 Schicho, Josef
5 Turrini, Cristina
5 Watson, Layne Terry
5 Yu, Bo
5 Zhang, Yongtao
4 Alzati, Alberto
4 Bauer, Thomas
4 Beltrán, Carlos
4 Carrell, James B.
4 Chen, Changbo
4 del Campo, Abraham Martín
4 Dong, Bo
4 Dratman, Ezequiel
4 Feng, Yong
4 Halic, Mihai
4 Han, Lixing
4 Huang, Yaodan
4 Knutsen, Andreas Leopold
4 Krone, Robert
4 Lasserre, Jean-Bernard
4 Lee, Tsung-Lin
4 Li, Tien-Yien
4 Liu, Kefeng
4 Maeda, Hidetoshi
4 Manivel, Laurent
4 Matera, Guillermo
4 Mezzetti, Emilia
4 Nepomechie, Rafael I.
4 Noma, Atsushi
4 Okonek, Christian
4 Pirola, Gian Pietro
4 Reid, Greg J.
4 Sabia, Juan
4 Safey El Din, Mohab
4 Schost, Éric
4 Schreyer, Frank-Olaf
4 Snow, Dennis M.
...and 1,069 more Authors
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Cited in 235 Serials

57 Journal of Symbolic Computation
54 Mathematische Annalen
41 Manuscripta Mathematica
35 Mathematische Zeitschrift
33 Transactions of the American Mathematical Society
29 Journal of Pure and Applied Algebra
27 Duke Mathematical Journal
27 Proceedings of the American Mathematical Society
26 Applied Mathematics and Computation
24 Communications in Algebra
24 Journal of Computational and Applied Mathematics
22 Journal of Algebra
20 Advances in Geometry
17 Compositio Mathematica
17 Inventiones Mathematicae
15 Advances in Mathematics
15 Mathematische Nachrichten
14 Annales de l’Institut Fourier
14 Nagoya Mathematical Journal
14 Theoretical Computer Science
14 International Journal of Mathematics
14 Journal of Algebraic Geometry
14 Foundations of Computational Mathematics
13 Mathematics of Computation
13 Annali di Matematica Pura ed Applicata. Serie Quarta
13 Geometriae Dedicata
12 Archiv der Mathematik
12 Journal of Complexity
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Journal of Scientific Computing
9 Journal of Computational Physics
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
9 Michigan Mathematical Journal
9 Advances in Applied Mathematics
9 Numerical Algorithms
9 Linear Algebra and its Applications
9 Journal of High Energy Physics
8 Numerische Mathematik
8 Rendiconti del Seminario Matematico della Università di Padova
8 Experimental Mathematics
8 Mechanism and Machine Theory
8 SIAM Journal on Applied Algebra and Geometry
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Journal of the Mathematical Society of Japan
7 Journal of the American Mathematical Society
7 Nonlinear Analysis. Real World Applications
7 Journal of Algebra and its Applications
6 Arkiv för Matematik
6 Journal of Differential Equations
6 Kodai Mathematical Journal
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 SIAM Journal on Scientific Computing
5 Computers & Mathematics with Applications
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of Geometry and Physics
5 Proceedings of the Japan Academy. Series A
5 The Journal of Geometric Analysis
5 Bulletin of the American Mathematical Society. New Series
5 Indagationes Mathematicae. New Series
5 Transformation Groups
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Systems Science and Complexity
5 Kyoto Journal of Mathematics
4 Journal of Mathematical Analysis and Applications
4 Computing
4 Journal für die Reine und Angewandte Mathematik
4 Monatshefte für Mathematik
4 Applied Numerical Mathematics
4 Applied Mathematics Letters
4 Forum Mathematicum
4 Mathematical Problems in Engineering
4 Revista Matemática Complutense
4 Mathematics in Computer Science
3 Nonlinearity
3 Nuclear Physics. B
3 Bulletin of Mathematical Biology
3 Beiträge zur Algebra und Geometrie
3 Collectanea Mathematica
3 Mathematics and Computers in Simulation
3 Osaka Journal of Mathematics
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Siberian Mathematical Journal
3 Tohoku Mathematical Journal. Second Series
3 Tokyo Journal of Mathematics
3 Computer Aided Geometric Design
3 Discrete & Computational Geometry
3 Science in China. Series A
3 Differential Geometry and its Applications
3 Journal of Global Optimization
3 Applied Mathematical Modelling
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Selecta Mathematica. New Series
3 Advances in Computational Mathematics
3 Chaos
3 Journal of the Institute of Mathematics of Jussieu
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Science China. Mathematics
2 Computers and Fluids
2 Journal of Mathematical Biology
2 Mathematical Biosciences
...and 135 more Serials
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Cited in 54 Fields

746 Algebraic geometry (14-XX)
252 Numerical analysis (65-XX)
148 Several complex variables and analytic spaces (32-XX)
105 Commutative algebra (13-XX)
100 Computer science (68-XX)
61 Differential geometry (53-XX)
57 Partial differential equations (35-XX)
41 Biology and other natural sciences (92-XX)
39 Field theory and polynomials (12-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
36 Functions of a complex variable (30-XX)
28 Dynamical systems and ergodic theory (37-XX)
24 Mechanics of particles and systems (70-XX)
22 Real functions (26-XX)
22 Convex and discrete geometry (52-XX)
22 Manifolds and cell complexes (57-XX)
22 Operations research, mathematical programming (90-XX)
21 Ordinary differential equations (34-XX)
20 Quantum theory (81-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Topological groups, Lie groups (22-XX)
15 Algebraic topology (55-XX)
13 Nonassociative rings and algebras (17-XX)
12 Systems theory; control (93-XX)
10 Group theory and generalizations (20-XX)
10 Fluid mechanics (76-XX)
9 Combinatorics (05-XX)
9 Statistics (62-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Number theory (11-XX)
8 Mechanics of deformable solids (74-XX)
7 Associative rings and algebras (16-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Geometry (51-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Approximations and expansions (41-XX)
4 Category theory; homological algebra (18-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Relativity and gravitational theory (83-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Special functions (33-XX)
3 Integral equations (45-XX)
3 General topology (54-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Probability theory and stochastic processes (60-XX)
2 Mathematics education (97-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Optics, electromagnetic theory (78-XX)

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