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Author ID: cox.david-a Recent zbMATH articles by "Cox, David A."
Published as: Cox, David A.; Cox, David
Homepage: http://www3.amherst.edu/~dacox/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

45 single-authored
7 Little, John Brittain
7 O’Shea, Donal B.
6 Dickenstein, Alicia M.
5 Schenck, Hal
4 D’Andrea, Carlos
3 Materov, Evgeny N.
3 Parry, Walter R.
2 Chen, Falai
2 Donagi, Ron Y.
2 Erskine, Andrew
2 Katz, Sheldon
2 Sederberg, Thomas W.
2 Sidman, Jessica
1 Abrevaya, Germán
1 Agrawal, Dakshi
1 Aravkin, Aleksandr Y.
1 Bashmakova, Izabella Grigor’evna
1 Batyrev, Victor V.
1 Bendel, Chris
1 Bird, Sheila M.
1 Busé, Laurent
1 Callahan, James J.
1 Cattani, Eduardo H.
1 Cecchi, Guillermo A.
1 Chionh, Eng-Wee
1 Clarke, Patrick
1 Cortadellas Benítez, Teresa
1 Curtiss, Howard C. jun.
1 Dawson, Silvina Ponce
1 Dowell, Earl H.
1 Dumas, Guillaume
1 Edwards, Harold Mortimer jun.
1 Edwards, John W.
1 Esnault, Hélène
1 Farewell, Vern T.
1 Gagnon-Audet, Jean-Christophe
1 Goldman, Ronald N.
1 Goldstein, Harvey
1 Green, Mark Lee
1 Haase, Christian Alexander
1 Hain, Richard M.
1 Hall, Kenneth C.
1 Harris, Michael Howard
1 Hasemeyer, Christian
1 Hauenstein, Jonathan D.
1 Hibi, Takayuki
1 Higashitani, Akihiro
1 Hoffman, Jerome William
1 Hoffman, Kenneth
1 Holt, Tim
1 Hyde, Trevor
1 Iarrobino, Anthony A.
1 Ji, Lizhen
1 Joshua, Roy
1 Kozloski, James R.
1 Krasauskas, Rimvydas
1 Kunz, Ernst
1 Kustin, Andrew R.
1 Lajoie, Guillaume
1 Lee, Yuan-Pin
1 Lin, Kuei-Nuan
1 Lipsett, Roger
1 Liu, Yang
1 Ma’u, Sione
1 Mcgiffen, T.
1 McKay, John
1 Mustaţă, Mircea
1 Pérez-Díaz, Sonia
1 Peters, David A.
1 Pevtsova, Julia
1 Polini, Claudia
1 Pollatsek, Harriet S.
1 Polosecki, Pablo
1 Richardson, Thomas J.
1 Rish, Irina
1 Saito, Masa-Hiko
1 Saper, Leslie
1 Scanlan, Robert H.
1 Schicho, Josef
1 Sendra, Juan Rafael
1 Senechal, Lester
1 Shurman, Jerry
1 Simiu, Emil
1 Sisto, Fernando
1 Smirnova, Galina Sergeevna
1 Smith, Peter C.
1 Sosa, Gabriel
1 Stevenhagen, Peter
1 Strganac, Thomas W.
1 Sturmfels, Bernd
1 Tu, Loring W.
1 Ulrich, Bernd
1 Urbanke, Rüdiger L.
1 von Renesse, Christine
1 Wang, Haohao
1 Zhang, Ming
1 Zheng, Jianmin
1 Zheng, Peng
1 Zucker, Steven Mark
all top 5

Serials

6 Proceedings of the American Mathematical Society
4 American Mathematical Monthly
4 Compositio Mathematica
4 Journal of Pure and Applied Algebra
4 Undergraduate Texts in Mathematics
3 Pacific Journal of Mathematics
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Mathematica Scandinavica
2 Tôhoku Mathematical Journal. Second Series
2 Computer Aided Geometric Design
2 Journal of Symbolic Computation
2 Notices of the American Mathematical Society
2 Journal of Algebraic Geometry
2 Graduate Texts in Mathematics
2 Pure and Applied Mathematics. A Wiley Series of Texts, Monographs, and Tracts
2 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
1 IEEE Transactions on Information Theory
1 Arkiv för Matematik
1 Mathematics of Computation
1 Advances in Mathematics
1 American Journal of Mathematics
1 Ars Combinatoria
1 Bulletin of the London Mathematical Society
1 Gazette des Mathématiciens
1 Illinois Journal of Mathematics
1 Journal of Algebra
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Normat
1 Theoretical Computer Science
1 Neural Computation
1 L’Enseignement Mathématique. 2e Série
1 The Electronic Journal of Combinatorics
1 Journal of the Royal Statistical Society. Series A. Statistics in Society
1 La Gaceta de la Real Sociedad Matemática Española
1 Journal of Algebra and its Applications
1 Oberwolfach Reports
1 The Dolciani Mathematical Expositions
1 Graduate Studies in Mathematics
1 Mathematical Surveys and Monographs
1 Proceedings of Symposia in Applied Mathematics
1 Solid Mechanics and Its Applications
1 University Lecture Series
1 Algebra & Number Theory
1 Involve
1 Symmetry
1 Communications in Mathematics and Statistics
1 CBMS Regional Conference Series in Mathematics
1 AMS Chelsea Publishing

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 5,328 times in 4,478 Documents Cited by Year
Toric varieties. Zbl 1223.14001
Cox, David A.; Little, John B.; Schenck, Henry K.
918
2011
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001
Cox, David; Little, John; O’Shea, Donal
544
2007
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017
Cox, David; Little, John; O’Shea, Donal
502
1992
Using algebraic geometry. Zbl 0920.13026
Cox, David; Little, John; O’Shea, Donal
386
1998
The homogeneous coordinate ring of a toric variety. Zbl 0846.14032
Cox, David A.
344
1995
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001
Cox, David A.; Little, John; O’Shea, Donal
329
2015
Primes of the form \(x^2+ny^2\). Fermat, class field theory and complex multiplication. Zbl 0701.11001
Cox, David A.
305
1989
Mirror symmetry and algebraic geometry. Zbl 0951.14026
Cox, David A.; Katz, Sheldon
299
1999
Using algebraic geometry. 2nd ed. Zbl 1079.13017
Cox, David A.; Little, John; O’Shea, Donal
293
2005
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012
Cox, David; Little, John; O’Shea, Donal
173
1996
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002
Cox, David A.
137
2013
On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021
Batyrev, Victor V.; Cox, David A.
94
1994
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
86
1998
Implicitization of surfaces in \({\mathbb P}^ 3\) in the presence of base points. Zbl 1068.14066
Busé, Laurent; Cox, David; D’Andrea, Carlos
47
2003
On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124
Cox, David; Goldman, Ronald; Zhang, Ming
46
2000
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
43
1979
The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054
Chen, Falai; Cox, David; Liu, Yang
43
2005
The arithmetic-geometric mean of Gauss. Zbl 0583.33002
Cox, David A.
39
1984
A modern course in aeroelasticity. 4th revised and enlarged edition. Zbl 1078.74001
Clark, Robert; Cox, David; Curtiss, H. C. jun.; Edwards, John W.; Hall, Kenneth C.; Peters, David A.; Scanlan, Robert; Simiu, Emil; Sisto, Fernando; Strganac, Thomas W.
36
2004
Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174
Cox, David A.
35
2001
Syzygies and the Rees algebra. Zbl 1151.13012
Cox, David; Hoffman, J. William; Wang, Haohao
33
2008
Recent developments in toric geometry. Zbl 0899.14025
Cox, David A.
31
1997
The functor of a smooth toric variety. Zbl 0828.14035
Cox, David A.
31
1995
Galois theory. 2nd ed. Zbl 1247.12006
Cox, David A.
29
2012
Toric residues. Zbl 0904.14029
Cox, David A.
23
1996
The moving curve ideal and the Rees algebra. Zbl 1170.13004
Cox, David A.
23
2008
A study of singularities on rational curves via syzygies. Zbl 1305.14014
Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd
21
2013
Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055
Cox, David A.
21
2014
What is a toric variety? Zbl 1038.14021
Cox, David
21
2003
Galois theory. Zbl 1057.12002
Cox, David A.
20
2004
Residues in toric varieties. Zbl 0883.14029
Cattani, Eduardo; Cox, David; Dickenstein, Alicia
17
1997
Curves, surfaces, and syzygies. Zbl 1058.14072
Cox, David
17
2003
Implicitizing rational surfaces with base points using the method of moving surfaces. Zbl 1058.14074
Zheng, Jianmin; Sederberg, Thomas W.; Chionh, Eng-Wee; Cox, David A.
17
2003
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500
Cox, David A.
16
1997
Toric varieties and toric resolutions. Zbl 0969.14035
Cox, David A.
16
2000
Torsion in elliptic curves over \(k(t)\). Zbl 0442.14015
Cox, David A.; Parry, Walter R.
13
1980
Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018
Cox, David A.
13
1982
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002
Cox, David A.
12
2011
Primitive collections and toric varieties. Zbl 1185.14045
Cox, David A.; von Renesse, Christine
12
2009
Secant varieties of toric varieties. Zbl 1115.14045
Cox, David; Sidman, Jessica
12
2007
Integer decomposition property of dilated polytopes. Zbl 1308.52012
Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro
12
2014
Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006
Cox, David; Schenck, Hal
11
2003
A case study in bigraded commutative algebra. Zbl 1127.13002
Cox, David; Dickenstein, Alicia; Schenck, Hal
11
2007
Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006
Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel
11
2019
Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001
Cox, David A.
11
2020
Variational Torelli implies generic Torelli. Zbl 0594.14011
Cox, David; Donagi, Ron; Tu, Loring
10
1987
Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028
Cox, David A.; Parry, Walter R.
10
1984
Geometry and number theory on clovers. Zbl 1107.51007
Cox, David A.; Shurman, Jerry
9
2005
Residues and duality for projective algebraic varieties. With the assistance of and contributions by David A. Cox and Alicia Dickenstein. Zbl 1180.14002
Kunz, Ernst
9
2008
The etale homotopy type of varieties over R. Zbl 0442.14004
Cox, David A.
8
1979
Solving equations via algebras. Zbl 1152.13306
Cox, David A.
8
2005
Tate resolutions for Segre embeddings. Zbl 1168.13009
Cox, David A.; Materov, Evgeny
8
2008
Principal moduli and class fields. Zbl 1047.11107
Cox, David; McKay, John; Stevenhagen, Peter
8
2004
Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041
Cox, David A.
7
1989
The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017
Cox, David A.
7
1990
Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125
Clarke, Patrick; Cox, David A.
7
2020
Codimension theorems for complete toric varieties. Zbl 1083.14058
Cox, David; Dickenstein, Alicia
6
2005
The beginnings and evolution of algebra. Transl. from the Russian by Abe Shenitzer with the editorial assistance of David A. Cox. Zbl 0942.01001
Bashmakova, I. G.; Smirnova, G. S.
6
2000
Performance indicators: good, bad, and ugly. Zbl 1114.62304
Bird, Sheila M.; Cox, David; Farewell, Vern T.; Goldstein, Harvey; Holt, Tim; Smith, Peter C.
6
2005
On closed graphs. I. Zbl 1349.05282
Cox, David A.; Erskine, Andrew
5
2015
On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005
Cox, David; Donagi, Ron
5
1986
Introduction to Fermat’s Last Theorem. Zbl 0849.11002
Cox, David A.
5
1994
Update on toric geometry. Zbl 1050.14001
Cox, David A.
5
2002
Stickelberger and the eigenvalue theorem. Zbl 1498.13067
Cox, David A.
5
2021
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Third edition with solutions. With contributions by Roger Lipsett. 3rd edition. Zbl 1504.11002
Cox, David A.
5
2022
Algebraic tubular neighborhoods. I. Zbl 0414.14005
Cox, David A.
4
1978
Algebraic tubular neighborhoods. II. Zbl 0418.14012
Cox, David A.
4
1978
Mirror symmetry and polar duality of polytopes. Zbl 1377.14009
Cox, David A.
4
2015
Strata of rational space curves. Zbl 1417.14009
Cox, David A.; Iarrobino, Anthony A.
4
2015
Introduction to Gröbner bases. Zbl 0941.13018
Cox, David A.
3
1998
Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007
Cox, David A.; Green, Mark L.
3
1990
What is the role of algebra in applied mathematics? Zbl 1114.00003
Cox, David A.
3
2005
Virtual fundamental classes of zero loci. Zbl 1065.14014
Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin
3
2001
Universal rational parametrizations and toric varieties. Zbl 1080.14539
Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea
3
2003
Transfinite diameter on complex algebraic varieties. Zbl 1375.32054
Cox, David A.; Ma’u, Sione
3
2017
Regularity and Segre-Veronese embeddings. Zbl 1169.14012
Cox, David A.; Materov, Evgeny
2
2009
Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039
2
1998
Homotopy theory of simplicial schemes. Zbl 0385.14004
Cox, David A.
2
1979
On the base point locus of surface parametrizations: formulas and consequences. Zbl 1506.14082
Cox, David A.; Pérez-Díaz, Sonia; Sendra, J. Rafael
2
2022
Calculus in context: the five college calculus project. Zbl 0874.26002
Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester
1
1995
Solutions of Weierstrass equations. Zbl 0438.14019
Cox, David A.
1
1979
Generic Torelli and infinitesimal variation of Hodge structure. Zbl 0637.14008
Cox, David A.
1
1987
Representations associated with elliptic surfaces. Zbl 0582.14013
Cox, David A.; Parry, Walter R.
1
1984
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013
Cox, David A.
1
2009
Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018
Cox, David A.
1
1976
The Galois theory of the lemniscate. Zbl 1385.11040
Cox, David A.; Hyde, Trevor
1
2014
Learning brain dynamics with coupled low-dimensional nonlinear oscillators and deep recurrent networks. Zbl 1483.92008
Abrevaya, Germán; Dumas, Guillaume; Aravkin, Aleksandr Y.; Zheng, Peng; Gagnon-Audet, Jean-Christophe; Kozloski, James; Polosecki, Pablo; Lajoie, Guillaume; Cox, David; Dawson, Silvina Ponce; Cecchi, Guillermo; Rish, Irina
1
2021
Tate resolutions and Weyman complexes. Zbl 1228.14013
Cox, David A.; Materov, Evgeny
1
2011
Subresultants and the Shape Lemma. Zbl 1516.13028
Cox, David A.; D’Andrea, Carlos
1
2023
Subresultants and the Shape Lemma. Zbl 1516.13028
Cox, David A.; D’Andrea, Carlos
1
2023
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Third edition with solutions. With contributions by Roger Lipsett. 3rd edition. Zbl 1504.11002
Cox, David A.
5
2022
On the base point locus of surface parametrizations: formulas and consequences. Zbl 1506.14082
Cox, David A.; Pérez-Díaz, Sonia; Sendra, J. Rafael
2
2022
Stickelberger and the eigenvalue theorem. Zbl 1498.13067
Cox, David A.
5
2021
Learning brain dynamics with coupled low-dimensional nonlinear oscillators and deep recurrent networks. Zbl 1483.92008
Abrevaya, Germán; Dumas, Guillaume; Aravkin, Aleksandr Y.; Zheng, Peng; Gagnon-Audet, Jean-Christophe; Kozloski, James; Polosecki, Pablo; Lajoie, Guillaume; Cox, David; Dawson, Silvina Ponce; Cecchi, Guillermo; Rish, Irina
1
2021
Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001
Cox, David A.
11
2020
Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125
Clarke, Patrick; Cox, David A.
7
2020
Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006
Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel
11
2019
Transfinite diameter on complex algebraic varieties. Zbl 1375.32054
Cox, David A.; Ma’u, Sione
3
2017
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001
Cox, David A.; Little, John; O’Shea, Donal
329
2015
On closed graphs. I. Zbl 1349.05282
Cox, David A.; Erskine, Andrew
5
2015
Mirror symmetry and polar duality of polytopes. Zbl 1377.14009
Cox, David A.
4
2015
Strata of rational space curves. Zbl 1417.14009
Cox, David A.; Iarrobino, Anthony A.
4
2015
Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055
Cox, David A.
21
2014
Integer decomposition property of dilated polytopes. Zbl 1308.52012
Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro
12
2014
The Galois theory of the lemniscate. Zbl 1385.11040
Cox, David A.; Hyde, Trevor
1
2014
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002
Cox, David A.
137
2013
A study of singularities on rational curves via syzygies. Zbl 1305.14014
Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd
21
2013
Galois theory. 2nd ed. Zbl 1247.12006
Cox, David A.
29
2012
Toric varieties. Zbl 1223.14001
Cox, David A.; Little, John B.; Schenck, Henry K.
918
2011
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002
Cox, David A.
12
2011
Tate resolutions and Weyman complexes. Zbl 1228.14013
Cox, David A.; Materov, Evgeny
1
2011
Primitive collections and toric varieties. Zbl 1185.14045
Cox, David A.; von Renesse, Christine
12
2009
Regularity and Segre-Veronese embeddings. Zbl 1169.14012
Cox, David A.; Materov, Evgeny
2
2009
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013
Cox, David A.
1
2009
Syzygies and the Rees algebra. Zbl 1151.13012
Cox, David; Hoffman, J. William; Wang, Haohao
33
2008
The moving curve ideal and the Rees algebra. Zbl 1170.13004
Cox, David A.
23
2008
Residues and duality for projective algebraic varieties. With the assistance of and contributions by David A. Cox and Alicia Dickenstein. Zbl 1180.14002
Kunz, Ernst
9
2008
Tate resolutions for Segre embeddings. Zbl 1168.13009
Cox, David A.; Materov, Evgeny
8
2008
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001
Cox, David; Little, John; O’Shea, Donal
544
2007
Secant varieties of toric varieties. Zbl 1115.14045
Cox, David; Sidman, Jessica
12
2007
A case study in bigraded commutative algebra. Zbl 1127.13002
Cox, David; Dickenstein, Alicia; Schenck, Hal
11
2007
Using algebraic geometry. 2nd ed. Zbl 1079.13017
Cox, David A.; Little, John; O’Shea, Donal
293
2005
The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054
Chen, Falai; Cox, David; Liu, Yang
43
2005
Geometry and number theory on clovers. Zbl 1107.51007
Cox, David A.; Shurman, Jerry
9
2005
Solving equations via algebras. Zbl 1152.13306
Cox, David A.
8
2005
Codimension theorems for complete toric varieties. Zbl 1083.14058
Cox, David; Dickenstein, Alicia
6
2005
Performance indicators: good, bad, and ugly. Zbl 1114.62304
Bird, Sheila M.; Cox, David; Farewell, Vern T.; Goldstein, Harvey; Holt, Tim; Smith, Peter C.
6
2005
What is the role of algebra in applied mathematics? Zbl 1114.00003
Cox, David A.
3
2005
A modern course in aeroelasticity. 4th revised and enlarged edition. Zbl 1078.74001
Clark, Robert; Cox, David; Curtiss, H. C. jun.; Edwards, John W.; Hall, Kenneth C.; Peters, David A.; Scanlan, Robert; Simiu, Emil; Sisto, Fernando; Strganac, Thomas W.
36
2004
Galois theory. Zbl 1057.12002
Cox, David A.
20
2004
Principal moduli and class fields. Zbl 1047.11107
Cox, David; McKay, John; Stevenhagen, Peter
8
2004
Implicitization of surfaces in \({\mathbb P}^ 3\) in the presence of base points. Zbl 1068.14066
Busé, Laurent; Cox, David; D’Andrea, Carlos
47
2003
What is a toric variety? Zbl 1038.14021
Cox, David
21
2003
Curves, surfaces, and syzygies. Zbl 1058.14072
Cox, David
17
2003
Implicitizing rational surfaces with base points using the method of moving surfaces. Zbl 1058.14074
Zheng, Jianmin; Sederberg, Thomas W.; Chionh, Eng-Wee; Cox, David A.
17
2003
Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006
Cox, David; Schenck, Hal
11
2003
Universal rational parametrizations and toric varieties. Zbl 1080.14539
Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea
3
2003
Update on toric geometry. Zbl 1050.14001
Cox, David A.
5
2002
Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174
Cox, David A.
35
2001
Virtual fundamental classes of zero loci. Zbl 1065.14014
Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin
3
2001
On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124
Cox, David; Goldman, Ronald; Zhang, Ming
46
2000
Toric varieties and toric resolutions. Zbl 0969.14035
Cox, David A.
16
2000
The beginnings and evolution of algebra. Transl. from the Russian by Abe Shenitzer with the editorial assistance of David A. Cox. Zbl 0942.01001
Bashmakova, I. G.; Smirnova, G. S.
6
2000
Mirror symmetry and algebraic geometry. Zbl 0951.14026
Cox, David A.; Katz, Sheldon
299
1999
Using algebraic geometry. Zbl 0920.13026
Cox, David; Little, John; O’Shea, Donal
386
1998
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
86
1998
Introduction to Gröbner bases. Zbl 0941.13018
Cox, David A.
3
1998
Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039
2
1998
Recent developments in toric geometry. Zbl 0899.14025
Cox, David A.
31
1997
Residues in toric varieties. Zbl 0883.14029
Cattani, Eduardo; Cox, David; Dickenstein, Alicia
17
1997
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500
Cox, David A.
16
1997
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012
Cox, David; Little, John; O’Shea, Donal
173
1996
Toric residues. Zbl 0904.14029
Cox, David A.
23
1996
The homogeneous coordinate ring of a toric variety. Zbl 0846.14032
Cox, David A.
344
1995
The functor of a smooth toric variety. Zbl 0828.14035
Cox, David A.
31
1995
Calculus in context: the five college calculus project. Zbl 0874.26002
Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester
1
1995
On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021
Batyrev, Victor V.; Cox, David A.
94
1994
Introduction to Fermat’s Last Theorem. Zbl 0849.11002
Cox, David A.
5
1994
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017
Cox, David; Little, John; O’Shea, Donal
502
1992
The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017
Cox, David A.
7
1990
Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007
Cox, David A.; Green, Mark L.
3
1990
Primes of the form \(x^2+ny^2\). Fermat, class field theory and complex multiplication. Zbl 0701.11001
Cox, David A.
305
1989
Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041
Cox, David A.
7
1989
Variational Torelli implies generic Torelli. Zbl 0594.14011
Cox, David; Donagi, Ron; Tu, Loring
10
1987
Generic Torelli and infinitesimal variation of Hodge structure. Zbl 0637.14008
Cox, David A.
1
1987
On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005
Cox, David; Donagi, Ron
5
1986
The arithmetic-geometric mean of Gauss. Zbl 0583.33002
Cox, David A.
39
1984
Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028
Cox, David A.; Parry, Walter R.
10
1984
Representations associated with elliptic surfaces. Zbl 0582.14013
Cox, David A.; Parry, Walter R.
1
1984
Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018
Cox, David A.
13
1982
Torsion in elliptic curves over \(k(t)\). Zbl 0442.14015
Cox, David A.; Parry, Walter R.
13
1980
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
43
1979
The etale homotopy type of varieties over R. Zbl 0442.14004
Cox, David A.
8
1979
Homotopy theory of simplicial schemes. Zbl 0385.14004
Cox, David A.
2
1979
Solutions of Weierstrass equations. Zbl 0438.14019
Cox, David A.
1
1979
Algebraic tubular neighborhoods. I. Zbl 0414.14005
Cox, David A.
4
1978
Algebraic tubular neighborhoods. II. Zbl 0418.14012
Cox, David A.
4
1978
Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018
Cox, David A.
1
1976
all top 5

Cited by 5,314 Authors

29 Busé, Laurent
27 Mourrain, Bernard
26 D’Andrea, Carlos
26 Hashemi, Amir
25 Cox, David A.
25 Faugère, Jean-Charles
24 Koo, Jakyung
23 Chen, Falai
23 Michałek, Mateusz
22 Goldman, Ronald N.
22 Sendra, Juan Rafael
22 Sturmfels, Bernd
21 Pérez-Díaz, Sonia
21 Shin, Dong Hwa
20 Hausen, Jürgen
20 Hibi, Takayuki
19 Emiris, Ioannis Z.
19 Shen, Liyong
18 Arzhantsev, Ivan Vladimirovich
18 Romanovskiĭ, Valeriĭ Georgievich
18 Wang, Dingkang
17 Safey El Din, Mohab
17 Seiler, Werner M.
17 Villarreal, Rafael Heraclio
15 Laface, Antonio
15 Qi, Liqun
15 Tsuchiya, Akiyoshi
14 Jung, Ho Yun
14 Possieri, Corrado
14 Sottile, Frank
14 Tsigaridas, Elias P.
14 Webster, Justin T.
13 Kapur, Deepak
13 Lu, Dong
13 Ohsugi, Hidefumi
13 Wang, Haohao
13 Yoon, Dong Sung
12 Bruzzo, Ugo
12 Dickenstein, Alicia M.
12 Hauenstein, Jonathan D.
12 He, Yang-Hui Evariste
12 Helmer, Martin
12 Morton, Patrick
12 Sauer, Tomas
12 Sharir, Micha
11 Castryck, Wouter
11 de Graaf, Willem Adriaan
11 Falcón Ganfornina, Raúl Manuel
11 Gao, Xiaoshan
11 García, Isaac A.
11 Jia, Xiaohong
11 Klemm, Albrecht
11 Menini, Laura
11 Simis, Aron
11 Thomas, Rekha R.
11 Tornambè, Antonio
11 Yuan, Chunming
10 Carvalho, Cícero F.
10 Geil, Olav
10 Jeronimo, Gabriela
10 Lin, Kuei-Nuan
10 Roanes-Lozano, Eugenio
10 Rossi, Michele
10 Rouillier, Fabrice
10 Schost, Éric
10 Walcher, Sebastian
9 Chen, Yuqun
9 De Loera, Jesús A.
9 Hegedűs, Gábor
9 Higashitani, Akihiro
9 Hoffman, Jerome William
9 Ilten, Nathan Owen
9 Iritani, Hiroshi
9 Lasiecka, Irena
9 Liendo, Alvaro
9 Melnikov, Ilarion V.
9 Ono, Ken
9 Rietsch, Konstanze
9 Sun, Yao
9 Sun, Zhi-Wei
9 Telen, Simon
9 Villarino, Carlos
9 Wang, Dongming
9 Weigand, Timo
9 Xiao, Fanghui
8 Boreale, Michele
8 Braun, Andreas P.
8 Chardin, Marc
8 Cortadellas Benítez, Teresa
8 Doran, Charles F.
8 Duarte, Eliana
8 García-Río, Eduardo
8 Gerdt, Vladimir Petrovich
8 Hernando, Antonio
8 Hong, Hoon
8 Katzarkov, Ludmil
8 Kim, Chang Heon
8 Kreuzer, Maximilian
8 Mantzaflaris, Angelos
8 Mirò-Roig, Rosa Maria
...and 5,214 more Authors
all top 5

Cited in 560 Serials

275 Journal of Symbolic Computation
174 Journal of Algebra
128 Journal of High Energy Physics
118 Advances in Mathematics
96 Journal of Number Theory
90 Journal of Pure and Applied Algebra
69 Computer Aided Geometric Design
68 Proceedings of the American Mathematical Society
66 Transactions of the American Mathematical Society
59 Mathematische Zeitschrift
56 Linear Algebra and its Applications
53 Mathematics of Computation
43 Communications in Mathematical Physics
43 Finite Fields and their Applications
41 Communications in Algebra
41 Duke Mathematical Journal
38 The Ramanujan Journal
37 Advances in Applied Mathematics
36 Nuclear Physics. B
36 Annales de l’Institut Fourier
36 Journal of Computational and Applied Mathematics
34 Designs, Codes and Cryptography
33 Manuscripta Mathematica
32 Discrete & Computational Geometry
31 Journal of Mathematical Analysis and Applications
30 Mathematics in Computer Science
29 Mathematische Annalen
27 Journal of Geometry and Physics
26 Journal of the London Mathematical Society. Second Series
26 Mathematische Nachrichten
26 Journal of Algebraic Combinatorics
26 The Electronic Journal of Combinatorics
26 Selecta Mathematica. New Series
26 SIAM Journal on Applied Algebra and Geometry
25 Applied Mathematics and Computation
25 Journal of Algebraic Geometry
24 Tôhoku Mathematical Journal. Second Series
24 Applicable Algebra in Engineering, Communication and Computing
24 Journal of Systems Science and Complexity
24 European Journal of Mathematics
23 Journal für die Reine und Angewandte Mathematik
23 Journal de Théorie des Nombres de Bordeaux
23 Foundations of Computational Mathematics
22 Journal of Combinatorial Theory. Series A
21 Compositio Mathematica
20 Theoretical Computer Science
19 Research in Number Theory
18 Journal of Differential Equations
18 Transformation Groups
18 Journal of Algebra and its Applications
17 Inventiones Mathematicae
17 Mathematics and Computers in Simulation
16 Proceedings of the London Mathematical Society. Third Series
16 International Journal of Mathematics
16 Journal of Commutative Algebra
16 Science China. Mathematics
15 Collectanea Mathematica
15 Michigan Mathematical Journal
15 Journal of the American Mathematical Society
15 International Journal of Number Theory
14 Proceedings of the Japan Academy. Series A
14 Experimental Mathematics
13 Israel Journal of Mathematics
13 Automatica
13 Results in Mathematics
13 Forum Mathematicum
13 Journal of Mathematical Sciences (New York)
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Forum of Mathematics, Sigma
12 Discrete Mathematics
12 Rocky Mountain Journal of Mathematics
12 Beiträge zur Algebra und Geometrie
12 Archiv der Mathematik
12 Nagoya Mathematical Journal
12 International Journal of Algebra and Computation
12 Bulletin of the American Mathematical Society. New Series
11 Journal of Mathematical Physics
11 Bulletin of the London Mathematical Society
11 Topology and its Applications
11 European Journal of Combinatorics
11 Journal of Complexity
11 SIAM Journal on Discrete Mathematics
11 Computational Complexity
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Discrete Applied Mathematics
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Acta Arithmetica
10 Systems & Control Letters
10 The Journal of Geometric Analysis
10 Journal of Mathematical Imaging and Vision
10 Communications in Contemporary Mathematics
10 Proceedings of the Steklov Institute of Mathematics
10 Advances in Mathematics of Communications
10 Algebra & Number Theory
9 American Mathematical Monthly
9 Computers & Mathematics with Applications
9 Letters in Mathematical Physics
9 Geometriae Dedicata
9 Semigroup Forum
9 Mathematical Programming. Series A. Series B
...and 460 more Serials
all top 5

Cited in 62 Fields

2,129 Algebraic geometry (14-XX)
1,064 Commutative algebra (13-XX)
739 Number theory (11-XX)
633 Computer science (68-XX)
354 Numerical analysis (65-XX)
332 Combinatorics (05-XX)
305 Convex and discrete geometry (52-XX)
272 Quantum theory (81-XX)
248 Several complex variables and analytic spaces (32-XX)
239 Differential geometry (53-XX)
223 Information and communication theory, circuits (94-XX)
167 Linear and multilinear algebra; matrix theory (15-XX)
153 Field theory and polynomials (12-XX)
144 Group theory and generalizations (20-XX)
132 Ordinary differential equations (34-XX)
128 Dynamical systems and ergodic theory (37-XX)
109 Associative rings and algebras (16-XX)
103 Operations research, mathematical programming (90-XX)
96 Systems theory; control (93-XX)
93 Manifolds and cell complexes (57-XX)
93 Statistics (62-XX)
91 Biology and other natural sciences (92-XX)
78 Relativity and gravitational theory (83-XX)
77 Partial differential equations (35-XX)
74 Nonassociative rings and algebras (17-XX)
73 Special functions (33-XX)
64 Algebraic topology (55-XX)
59 Mechanics of particles and systems (70-XX)
56 Approximations and expansions (41-XX)
53 Geometry (51-XX)
46 Functions of a complex variable (30-XX)
45 Mechanics of deformable solids (74-XX)
44 Global analysis, analysis on manifolds (58-XX)
42 Mathematical logic and foundations (03-XX)
42 Real functions (26-XX)
38 Fluid mechanics (76-XX)
35 Order, lattices, ordered algebraic structures (06-XX)
34 Probability theory and stochastic processes (60-XX)
32 Operator theory (47-XX)
30 Category theory; homological algebra (18-XX)
27 \(K\)-theory (19-XX)
26 Topological groups, Lie groups (22-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Difference and functional equations (39-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 History and biography (01-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 General and overarching topics; collections (00-XX)
11 Functional analysis (46-XX)
10 Integral transforms, operational calculus (44-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Sequences, series, summability (40-XX)
6 Mathematics education (97-XX)
5 Optics, electromagnetic theory (78-XX)
5 Astronomy and astrophysics (85-XX)
4 General algebraic systems (08-XX)
4 Potential theory (31-XX)
4 Abstract harmonic analysis (43-XX)
4 General topology (54-XX)
3 Measure and integration (28-XX)
1 Integral equations (45-XX)

Citations by Year

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