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Greuel, Gert-Martin

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Author ID: greuel.gert-martin Recent zbMATH articles by "Greuel, Gert-Martin"
Published as: Greuel, Gert-Martin; Greuel, G.-M.; Greuel, G. M.
Homepage: http://www.mathematik.uni-kl.de/~greuel
External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Documents Indexed: 116 Publications since 1975, including 4 Books
7 Contributions as Editor
2 Further Contributions
Reviewing Activity: 37 Reviews
Biographic References: 2 Publications
all top 5

Co-Authors

26 single-authored
21 Pfister, Gerhard
15 Lossen, Christoph
9 Drozd, Yuriĭ Anatoliĭovych
9 Shustin, Eugenii Isaakovich
6 Sperber, Wolfram
5 Schönemann, Hans
4 Buchweitz, Ragnar-Olaf
4 Pham, Thuy Huong
3 Bönisch, Sebastian
3 Brickenstein, Michael
3 Lê Dûng Tráng
3 Mihaljević, Helena
3 Teschke, Olaf
3 Wienand, Oliver
2 Bachmann, Olaf
2 Bandman, Tatiana M.
2 Bodnarchuk, Lesya Yu.
2 Boubakri, Yousra
2 Burban, Igor
2 Campillo, Antonio
2 Decker, Wolfram
2 Grunewald, Fritz J.
2 Hamm, Helmut Arend
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Markwig, Thomas
2 Martin, Bernd
2 Matt, Andreas Daniel
2 Nguyen Hong Duc
2 Purkert, Walter
2 Sanz-Solé, Marta
2 Seelisch, Frank
2 Steenbrink, Joseph H. M.
2 Wedler, Markus
1 Allouche, Jean-Paul Simon
1 Angeniol, Bernard
1 Arnol’d, Vladimir Igorevich
1 Atiyah, Michael Francis
1 Bär, Christian
1 Böhnisch, Sebastian
1 Bourguignon, Jean-Pierre
1 Brezzi, Franco
1 Brieskorn, Egbert
1 Brücker, Christian
1 Cederbaum, Carla
1 Chrapary, Hagen
1 Chruściel, Piotr Tadeusz
1 Dales, H. Garth
1 de Jong, Theo
1 Dickenstein, Alicia M.
1 Dimca, Alexandru
1 Dreyer, Alexander
1 Elzein, Fouad
1 Esnault, Hélène
1 Fialowski, Alice
1 Fischer, Gerd
1 Giusti, Marc
1 Grassmann, Hubert
1 Grünberg, David
1 Halpern, Laurence
1 Henry, Jean-Pierre-Georges
1 Hertling, Claus
1 Hiss, Gerhard
1 Hopcroft, John Edward H.
1 Huggett, Stephen A.
1 Karras, Ulrich
1 Kashuba, Iryna
1 Knörrer, Horst
1 Koch, Thorsten
1 Kröning, H.
1 Kulikov, Viktor Stepanovich
1 Kunz, Wolfgang
1 Langevin, Rémi
1 Laplagne, Santiago
1 Lê Công Trình
1 Lê Dũng Tráng
1 Lejeune-Jalabert, Monique
1 Looijenga, Eduard J. N.
1 Manin, Yuri Ivanovich
1 Matzat, Bernd Heinrich
1 Mebkhout, Zoghman
1 Mehrmann, Volker
1 Meinel, Reinhard
1 Mey, Antonia S. J. S.
1 Narváez-Macarro, Luis
1 Neumann, Wolfgang
1 Odlyzko, Andrew M.
1 Park, Hyungju
1 Paule, Peter
1 Peters, Klaus-Heinrich
1 Pohl, Wilfred
1 Raussen, Martin
1 Remmert, Reinhold W.
1 Roy, Nicolas David
1 Rupprecht, Gerhard
1 Sabbah, Claude
1 Schreyer, Frank-Olaf
1 Schulze, Mathias
1 Sergeev, Armen Glebovich
1 Siebert, Thomas
1 Sommese, Andrew John
...and 10 more Co-Authors
all top 5

Serials

9 European Mathematical Society Newsletter
6 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
6 Manuscripta Mathematica
6 Mathematische Annalen
5 Compositio Mathematica
4 Inventiones Mathematicae
4 Journal of Symbolic Computation
4 Journal of Algebraic Geometry
3 Journal of Singularities
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Algebra
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 IMRN. International Mathematics Research Notices
2 Applicable Algebra in Engineering, Communication and Computing
2 Revista Matemática Complutense
2 Moscow Mathematical Journal
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Springer Monographs in Mathematics
1 Classical and Quantum Gravity
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 Gazette des Mathématiciens
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Proceedings of the London Mathematical Society. Third Series
1 Revista Matemática Iberoamericana
1 Notices of the American Mathematical Society
1 Euromath Bulletin
1 Methods and Applications of Analysis
1 Computer Science Journal of Moldova
1 Izvestiya: Mathematics
1 La Gaceta de la Real Sociedad Matemática Española
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Lecture Notes in Computer Science
1 Lecture Notes in Mathematics
1 Progress in Mathematics
1 Computeralgebra-Rundbrief
1 ACM Communications in Computer Algebra

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 1,349 times in 988 Documents Cited by Year
SINGULAR: a computer algebra system for polynomial computations. Zbl 1344.13002
Greuel, G. M.; Pfister, G.; Schönemann, H.
164
2008
Introduction to singularities and deformations. Zbl 1125.32013
Greuel, Gert-Martin; Lossen, Christoph; Shustin, E.
127
2007
Cohen-Macaulay modules on hypersurface singularities. II. Zbl 0617.14034
Buchweitz, R.-O.; Greuel, G.-M.; Schreyer, F.-O.
118
1987
Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten. Zbl 0285.14002
Greuel, G.-M.
75
1975
The Milnor number and deformations of complex curve singularities. Zbl 0458.32014
Buchweitz, Ragnar-Olaf; Greuel, Gert-Martin
71
1980
A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. Zbl 1023.13001
Greuel, Gert-Martin; Pfister, Gerhard
64
2002
Einfache Kurvensingularitäten und torsionsfreie Moduln. Zbl 0553.14011
Greuel, G.-M.; Knörrer, H.
54
1985
A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. 2nd extended ed. Zbl 1133.13001
Greuel, Gert-Martin; Pfister, Gerhard
52
2007
Simple singularities in positive characteristic. Zbl 0715.14001
Greuel, G.-M.; Kröning, H.
34
1990
Tame and wild projective curves and classification of vector bundles. Zbl 1065.14041
Drozd, Yuri A.; Greuel, Gert-Martin
33
2001
Invarianten quasihomogener vollständiger Durchschnitte. Zbl 0394.32006
Greuel, Gert-Martin; Hamm, Helmut A.
33
1978
Dualität in der lokalen Kohomologie isolierter Singularitäten. Zbl 0417.14003
Greuel, Gert-Martin
30
1980
Primary decomposition: Algorithms and comparisons. Zbl 0932.13019
Decker, Wolfram; Greuel, Gert-Martin; Pfister, Gerhard
29
1999
Plane curves of minimal degree with prescribed singularities. Zbl 0924.14013
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
25
1998
Families of varieties with prescribed singularities. Zbl 0684.32015
Greuel, Gert-Martin; Karras, Ulrich
24
1989
Constant Milnor number implies constant multiplicity for quasihomogeneous singularities. Zbl 0594.32021
Greuel, Gert-Martin
22
1985
Vector bundles and torsion free sheaves on degenerations of elliptic curves. Zbl 1111.14027
Bodnarchuk, Lesya; Burban, Igor; Drozd, Yuriy; Greuel, Gert-Martin
21
2006
Geometry of families of nodal curves on the blown-up projective plane. Zbl 0889.14010
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
16
1998
SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra. Zbl 0902.14040
Greuel, G.-M.; Pfister, G.; Schönemann, H.
16
1997
Advances and improvements in the theory of standard bases and syzygies. Zbl 0854.13015
Greuel, G.-M.; Pfister, G.
16
1996
On the topology of smoothable singularities. Zbl 0535.32004
Greuel, Gert-Martin; Steenbrink, Joseph
15
1983
Identities for finite solvable groups and equations in finite simple groups. Zbl 1112.20016
Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene
15
2006
Equianalytic and equisingular families of curves on surfaces. Zbl 0874.14021
Greuel, Gert-Martin; Lossen, Christoph
15
1996
Invariants of hypersurface singularities in positive characteristic. Zbl 1279.14004
Boubakri, Yousra; Greuel, Gert-Martin; Markwig, Thomas
14
2012
On Cohen-Macaulay modules on surface singularities. Zbl 1051.13006
Drozd, Yuriy A.; Greuel, Gert-Martin; Kashuba, Irina
14
2003
Castelnuovo function, zero-dimensional schemes and singular plane curves. Zbl 1037.14009
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
13
2000
Normalization of rings. Zbl 1200.13015
Greuel, Gert-Martin; Laplagne, Santiago; Seelisch, Frank
12
2010
Tame-wild dichotomy for Cohen-Macaulay modules. Zbl 0760.16005
Drozd, Yu. A.; Greuel, G.-M.
12
1992
New developments in the theory of Gröbner bases and applications to formal verification. Zbl 1164.68019
Brickenstein, Michael; Dreyer, Alexander; Greuel, Gert-Martin; Wedler, Markus; Wienand, Oliver
11
2009
Cohen-Macaulay module type. Zbl 0794.14010
Drozd, Yu. A.; Greuel, G.-M.
11
1993
Numerische Charakterisierung quasihomogener Gorenstein- Kurvensingularitäten. Zbl 0587.14016
Greuel, G.-M.; Martin, B.; Pfister, G.
10
1985
Moduli spaces for torsion free modules on curve singularities. I. Zbl 0785.14016
Greuel, Gert-Martin; Pfister, Gerhard
10
1993
Vector bundles on singular projective curves. Zbl 0998.14016
Burban, I.; Drozd, Yu.; Greuel, G.-M.
9
2001
Two-variable identities for finite solvable groups. Zbl 1047.20014
Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene
9
2003
The dimension of smoothing components. Zbl 0587.32038
Greuel, G.-M.; Looijenga, E.
8
1985
Mather-Yau theorem in positive characteristic. Zbl 1357.14010
Greuel, Gert-Martin; Pham, Thuy Huong
8
2017
Geometric quotients of unipotent group actions. Zbl 0806.14034
Greuel, Gert-Martin; Pfister, Gerhard
8
1993
New asymptotics in the geometry of equisingular families of curves. Zbl 0905.14014
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
7
1997
Deformationen isolierter Kurvensingularitäten mit eingebetteten Komponenten. (Deformations of isolated curve singularities with embedded components). Zbl 0728.32016
Brücker, Christian; Greuel, Gert-Martin
6
1990
Spitzen, Doppelpunkte und vertikale Tangenten in der Diskriminante verseller Deformationen von vollständigen Durchschnitten. Zbl 0318.32015
Greuel, Gert-Martin; Lê Dũng Tráng
6
1976
Singularities of complete intersections. Zbl 0328.32009
Brieskorn, Egbert; Greuel, G.-M.
6
1975
Singular algebraic curves. With an appendix by Oleg Viro. Zbl 1411.14001
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
6
2018
Some remarks on the planar Kouchnirenko’s theorem. Zbl 1279.14005
Greuel, Gert-Martin; Nguyen, Hong Duc
5
2012
On 1-forms on isolated complete intersection curve singularities. Zbl 1402.14036
Dimca, Alexandru; Greuel, Gert-Martin
5
2018
Equisingular and equinormalizable deformations of isolated non-normal singularities. Zbl 1387.14020
Greuel, Gert-Martin
5
2017
swMATH – an information service for mathematical software. Zbl 1434.68656
Greuel, Gert-Martin; Sperber, Wolfram
4
2014
The variety of plane curves with ordinary singularities is not irreducible. Zbl 0982.14018
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
4
2001
Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität. Zbl 0359.32008
Greuel, Gert-Martin
4
1977
Deformation and classification of singularities and modules. (Deformation und Klassifikation von Singularitäten und Moduln.) Zbl 0767.32017
Greuel, G.-M.
4
1992
On an implementation of standard bases and syzygies in SINGULAR. Zbl 0854.13016
Grassmann, H.; Greuel, G.-M.; Martin, B.; Neumann, W.; Pfister, G.; Pohl, W.; Schönemann, H.; Siebert, T.
4
1996
The normalization: A new algorithm, implementation and comparisons. Zbl 0942.13010
Decker, Wolfram; de Jong, Theo; Greuel, Gert-Martin; Pfister, Gerhard
4
1999
Equisingular calculations for plane curve singularities. Zbl 1128.14003
Campillo, Antonio; Greuel, Gert-Martin; Lossen, Christoph
4
2007
Moduli for singularities. Zbl 0823.14001
Greuel, Gert-Martin; Pfister, Gerhard
4
1994
Normal forms of hypersurface singularities in positive characteristic. Zbl 1272.32025
Boubakri, Yousra; Greuel, Gert-Martin; Markwig, Thomas
4
2011
On deformation of curves and a formula of Deligne. Zbl 0509.14031
Greuel, Gert-Martin
4
1982
Geometric quotients of unipotent group actions. II. Zbl 0940.14032
Greuel, Gert-Martin; Pfister, Gerhard
3
1998
An algebraic approach for proving data correctness in arithmetic data paths. Zbl 1155.68448
Wienand, Oliver; Wedler, Markus; Stoffel, Dominik; Kunz, Wolfgang; Greuel, Gert-Martin
3
2008
Equisingular deformations of plane curves in arbitrary characteristic. Zbl 1121.14003
Campillo, Antonio; Greuel, Gert-Martin; Lossen, Christoph
3
2007
Simple vector bundles on plane degenerations of an elliptic curve. Zbl 1261.14017
Bodnarchuk, Lesya; Drozd, Yuriy; Greuel, Gert-Martin
3
2012
Finite determinacy of matrices and ideals. Zbl 07060818
Greuel, Gert-Martin; Pham, Thuy Huong
3
2019
Computer algebra and finite groups. Zbl 1066.68163
Greuel, Gert-Martin; Pfister, Gerhard
2
2002
The Gröbner basis of the ideal of vanishing polynomials. Zbl 1210.13028
Greuel, Gert-Martin; Seelisch, Frank; Wienand, Oliver
2
2011
Equisingular families of projective curves. Zbl 1116.14015
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
2
2006
Semicontinuity for representations of one-dimensional Cohen-Macaulay rings. Zbl 0866.16005
Drozd, Yu. A.; Greuel, G.-M.
2
1996
Le nombre de Milnor, équisingularite et déformations de singularites des courbes reduites. Zbl 0422.32011
Buchweitz, Ragnar-Olaf; Greuel, Gert-Martin
2
1979
SINGULAR and applications. Zbl 1112.13029
Greuel, Gert-Martin; Pfister, Gerhard
2
2006
Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Zbl 0877.14010
Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard
2
1997
Geometry of equisingular families of curves. Zbl 0953.14015
Greuel, Gert-Martin; Shustin, Eugenii
2
1999
A remark on the paper of A. Tannenbaum. Zbl 0556.14009
Greuel, Gert-Martin
2
1984
On finite determinacy for matrices of power series. Zbl 1439.14020
Greuel, Gert-Martin; Pham, Thuy Huong
2
2018
Right simple singularities in positive characteristic. Zbl 1342.14006
Greuel, Gert-Martin; Hong Duc Nguyen
2
2016
Cohomologie des singularites non isolees. Zbl 0356.32009
Greuel, Gert-Martin
1
1977
Gröbner bases and algebraic geometry. Zbl 0930.13020
Greuel, Gert-Martin; Pfister, Gerhard
1
1998
On moduli spaces of semiquasihomogeneous singularities. Zbl 0862.14002
Greuel, Gert-Martin; Pfister, Gerhard
1
1996
Singularities, representation of algebras, and vector bundles. Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13-17, 1985. Zbl 0619.00007
1
1987
Séminaire sur les singularités. (Seminar on singularities). (Université Paris VII, 1976-1977). Zbl 0624.32001
1
1980
On deformations of maps and curve singularities. Zbl 1173.14006
Greuel, Gert-Martin; Le, Cong Trinh
1
2008
Singularities in positive characteristic: equisingularity, classification, determinacy. Zbl 1405.14006
Greuel, Gert-Martin
1
2018
Mathematical models. From the collections of universities and museums – photograph volume and commentary. With a preface by Gert-Martin Greuel. 2nd edition. Zbl 1386.00007
1
2017
Finite determinacy of matrices and ideals. Zbl 07060818
Greuel, Gert-Martin; Pham, Thuy Huong
3
2019
Singular algebraic curves. With an appendix by Oleg Viro. Zbl 1411.14001
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
6
2018
On 1-forms on isolated complete intersection curve singularities. Zbl 1402.14036
Dimca, Alexandru; Greuel, Gert-Martin
5
2018
On finite determinacy for matrices of power series. Zbl 1439.14020
Greuel, Gert-Martin; Pham, Thuy Huong
2
2018
Singularities in positive characteristic: equisingularity, classification, determinacy. Zbl 1405.14006
Greuel, Gert-Martin
1
2018
Mather-Yau theorem in positive characteristic. Zbl 1357.14010
Greuel, Gert-Martin; Pham, Thuy Huong
8
2017
Equisingular and equinormalizable deformations of isolated non-normal singularities. Zbl 1387.14020
Greuel, Gert-Martin
5
2017
Mathematical models. From the collections of universities and museums – photograph volume and commentary. With a preface by Gert-Martin Greuel. 2nd edition. Zbl 1386.00007
1
2017
Right simple singularities in positive characteristic. Zbl 1342.14006
Greuel, Gert-Martin; Hong Duc Nguyen
2
2016
swMATH – an information service for mathematical software. Zbl 1434.68656
Greuel, Gert-Martin; Sperber, Wolfram
4
2014
Invariants of hypersurface singularities in positive characteristic. Zbl 1279.14004
Boubakri, Yousra; Greuel, Gert-Martin; Markwig, Thomas
14
2012
Some remarks on the planar Kouchnirenko’s theorem. Zbl 1279.14005
Greuel, Gert-Martin; Nguyen, Hong Duc
5
2012
Simple vector bundles on plane degenerations of an elliptic curve. Zbl 1261.14017
Bodnarchuk, Lesya; Drozd, Yuriy; Greuel, Gert-Martin
3
2012
Normal forms of hypersurface singularities in positive characteristic. Zbl 1272.32025
Boubakri, Yousra; Greuel, Gert-Martin; Markwig, Thomas
4
2011
The Gröbner basis of the ideal of vanishing polynomials. Zbl 1210.13028
Greuel, Gert-Martin; Seelisch, Frank; Wienand, Oliver
2
2011
Normalization of rings. Zbl 1200.13015
Greuel, Gert-Martin; Laplagne, Santiago; Seelisch, Frank
12
2010
New developments in the theory of Gröbner bases and applications to formal verification. Zbl 1164.68019
Brickenstein, Michael; Dreyer, Alexander; Greuel, Gert-Martin; Wedler, Markus; Wienand, Oliver
11
2009
SINGULAR: a computer algebra system for polynomial computations. Zbl 1344.13002
Greuel, G. M.; Pfister, G.; Schönemann, H.
164
2008
An algebraic approach for proving data correctness in arithmetic data paths. Zbl 1155.68448
Wienand, Oliver; Wedler, Markus; Stoffel, Dominik; Kunz, Wolfgang; Greuel, Gert-Martin
3
2008
On deformations of maps and curve singularities. Zbl 1173.14006
Greuel, Gert-Martin; Le, Cong Trinh
1
2008
Introduction to singularities and deformations. Zbl 1125.32013
Greuel, Gert-Martin; Lossen, Christoph; Shustin, E.
127
2007
A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. 2nd extended ed. Zbl 1133.13001
Greuel, Gert-Martin; Pfister, Gerhard
52
2007
Equisingular calculations for plane curve singularities. Zbl 1128.14003
Campillo, Antonio; Greuel, Gert-Martin; Lossen, Christoph
4
2007
Equisingular deformations of plane curves in arbitrary characteristic. Zbl 1121.14003
Campillo, Antonio; Greuel, Gert-Martin; Lossen, Christoph
3
2007
Vector bundles and torsion free sheaves on degenerations of elliptic curves. Zbl 1111.14027
Bodnarchuk, Lesya; Burban, Igor; Drozd, Yuriy; Greuel, Gert-Martin
21
2006
Identities for finite solvable groups and equations in finite simple groups. Zbl 1112.20016
Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene
15
2006
Equisingular families of projective curves. Zbl 1116.14015
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
2
2006
SINGULAR and applications. Zbl 1112.13029
Greuel, Gert-Martin; Pfister, Gerhard
2
2006
On Cohen-Macaulay modules on surface singularities. Zbl 1051.13006
Drozd, Yuriy A.; Greuel, Gert-Martin; Kashuba, Irina
14
2003
Two-variable identities for finite solvable groups. Zbl 1047.20014
Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene
9
2003
A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. Zbl 1023.13001
Greuel, Gert-Martin; Pfister, Gerhard
64
2002
Computer algebra and finite groups. Zbl 1066.68163
Greuel, Gert-Martin; Pfister, Gerhard
2
2002
Tame and wild projective curves and classification of vector bundles. Zbl 1065.14041
Drozd, Yuri A.; Greuel, Gert-Martin
33
2001
Vector bundles on singular projective curves. Zbl 0998.14016
Burban, I.; Drozd, Yu.; Greuel, G.-M.
9
2001
The variety of plane curves with ordinary singularities is not irreducible. Zbl 0982.14018
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
4
2001
Castelnuovo function, zero-dimensional schemes and singular plane curves. Zbl 1037.14009
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
13
2000
Primary decomposition: Algorithms and comparisons. Zbl 0932.13019
Decker, Wolfram; Greuel, Gert-Martin; Pfister, Gerhard
29
1999
The normalization: A new algorithm, implementation and comparisons. Zbl 0942.13010
Decker, Wolfram; de Jong, Theo; Greuel, Gert-Martin; Pfister, Gerhard
4
1999
Geometry of equisingular families of curves. Zbl 0953.14015
Greuel, Gert-Martin; Shustin, Eugenii
2
1999
Plane curves of minimal degree with prescribed singularities. Zbl 0924.14013
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
25
1998
Geometry of families of nodal curves on the blown-up projective plane. Zbl 0889.14010
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
16
1998
Geometric quotients of unipotent group actions. II. Zbl 0940.14032
Greuel, Gert-Martin; Pfister, Gerhard
3
1998
Gröbner bases and algebraic geometry. Zbl 0930.13020
Greuel, Gert-Martin; Pfister, Gerhard
1
1998
SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra. Zbl 0902.14040
Greuel, G.-M.; Pfister, G.; Schönemann, H.
16
1997
New asymptotics in the geometry of equisingular families of curves. Zbl 0905.14014
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii
7
1997
Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Zbl 0877.14010
Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard
2
1997
Advances and improvements in the theory of standard bases and syzygies. Zbl 0854.13015
Greuel, G.-M.; Pfister, G.
16
1996
Equianalytic and equisingular families of curves on surfaces. Zbl 0874.14021
Greuel, Gert-Martin; Lossen, Christoph
15
1996
On an implementation of standard bases and syzygies in SINGULAR. Zbl 0854.13016
Grassmann, H.; Greuel, G.-M.; Martin, B.; Neumann, W.; Pfister, G.; Pohl, W.; Schönemann, H.; Siebert, T.
4
1996
Semicontinuity for representations of one-dimensional Cohen-Macaulay rings. Zbl 0866.16005
Drozd, Yu. A.; Greuel, G.-M.
2
1996
On moduli spaces of semiquasihomogeneous singularities. Zbl 0862.14002
Greuel, Gert-Martin; Pfister, Gerhard
1
1996
Moduli for singularities. Zbl 0823.14001
Greuel, Gert-Martin; Pfister, Gerhard
4
1994
Cohen-Macaulay module type. Zbl 0794.14010
Drozd, Yu. A.; Greuel, G.-M.
11
1993
Moduli spaces for torsion free modules on curve singularities. I. Zbl 0785.14016
Greuel, Gert-Martin; Pfister, Gerhard
10
1993
Geometric quotients of unipotent group actions. Zbl 0806.14034
Greuel, Gert-Martin; Pfister, Gerhard
8
1993
Tame-wild dichotomy for Cohen-Macaulay modules. Zbl 0760.16005
Drozd, Yu. A.; Greuel, G.-M.
12
1992
Deformation and classification of singularities and modules. (Deformation und Klassifikation von Singularitäten und Moduln.) Zbl 0767.32017
Greuel, G.-M.
4
1992
Simple singularities in positive characteristic. Zbl 0715.14001
Greuel, G.-M.; Kröning, H.
34
1990
Deformationen isolierter Kurvensingularitäten mit eingebetteten Komponenten. (Deformations of isolated curve singularities with embedded components). Zbl 0728.32016
Brücker, Christian; Greuel, Gert-Martin
6
1990
Families of varieties with prescribed singularities. Zbl 0684.32015
Greuel, Gert-Martin; Karras, Ulrich
24
1989
Cohen-Macaulay modules on hypersurface singularities. II. Zbl 0617.14034
Buchweitz, R.-O.; Greuel, G.-M.; Schreyer, F.-O.
118
1987
Singularities, representation of algebras, and vector bundles. Proceedings of a Symposium held in Lambrecht/Pfalz, Fed. Rep. of Germany, Dec. 13-17, 1985. Zbl 0619.00007
1
1987
Einfache Kurvensingularitäten und torsionsfreie Moduln. Zbl 0553.14011
Greuel, G.-M.; Knörrer, H.
54
1985
Constant Milnor number implies constant multiplicity for quasihomogeneous singularities. Zbl 0594.32021
Greuel, Gert-Martin
22
1985
Numerische Charakterisierung quasihomogener Gorenstein- Kurvensingularitäten. Zbl 0587.14016
Greuel, G.-M.; Martin, B.; Pfister, G.
10
1985
The dimension of smoothing components. Zbl 0587.32038
Greuel, G.-M.; Looijenga, E.
8
1985
A remark on the paper of A. Tannenbaum. Zbl 0556.14009
Greuel, Gert-Martin
2
1984
On the topology of smoothable singularities. Zbl 0535.32004
Greuel, Gert-Martin; Steenbrink, Joseph
15
1983
On deformation of curves and a formula of Deligne. Zbl 0509.14031
Greuel, Gert-Martin
4
1982
The Milnor number and deformations of complex curve singularities. Zbl 0458.32014
Buchweitz, Ragnar-Olaf; Greuel, Gert-Martin
71
1980
Dualität in der lokalen Kohomologie isolierter Singularitäten. Zbl 0417.14003
Greuel, Gert-Martin
30
1980
Séminaire sur les singularités. (Seminar on singularities). (Université Paris VII, 1976-1977). Zbl 0624.32001
1
1980
Le nombre de Milnor, équisingularite et déformations de singularites des courbes reduites. Zbl 0422.32011
Buchweitz, Ragnar-Olaf; Greuel, Gert-Martin
2
1979
Invarianten quasihomogener vollständiger Durchschnitte. Zbl 0394.32006
Greuel, Gert-Martin; Hamm, Helmut A.
33
1978
Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität. Zbl 0359.32008
Greuel, Gert-Martin
4
1977
Cohomologie des singularites non isolees. Zbl 0356.32009
Greuel, Gert-Martin
1
1977
Spitzen, Doppelpunkte und vertikale Tangenten in der Diskriminante verseller Deformationen von vollständigen Durchschnitten. Zbl 0318.32015
Greuel, Gert-Martin; Lê Dũng Tráng
6
1976
Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten. Zbl 0285.14002
Greuel, G.-M.
75
1975
Singularities of complete intersections. Zbl 0328.32009
Brieskorn, Egbert; Greuel, G.-M.
6
1975
all top 5

Cited by 1,095 Authors

32 Greuel, Gert-Martin
19 Drozd, Yuriĭ Anatoliĭovych
18 Shustin, Eugenii Isaakovich
17 Pfister, Gerhard
14 Burban, Igor
12 Ballico, Edoardo
12 Nuño-Ballesteros, Juan José
10 Böhm, Janko
10 Dimca, Alexandru
10 Takahashi, Ryo
10 Tomazella, João Nivaldo
9 Giné, Jaume
9 Hashemi, Amir
9 Isaev, Alexander
9 Markwig, Thomas
9 Mirò-Roig, Rosa Maria
9 Popescu, Dorin
8 Aleksandrov, Aleksandr Grigor’evich
8 Frühbis-Krüger, Anne
8 Kunyavskiĭ, Boris Èmmanuilovich
8 Nabeshima, Katsusuke
8 Wiegand, Roger Allen
8 Yau, Stephen Shing-Toung
7 Bivià-Ausina, Carles
7 Decker, Wolfram
7 Ebeling, Wolfgang
7 Levandovskyy, Viktor
7 Liu, Jinwang
7 Malaspina, Francesco
7 Pons-Llopis, Joan
7 Tajima, Shinichi
7 Zhang, Pu
6 Escudero, Juan García
6 Grunewald, Fritz J.
6 Herzog, Jürgen
6 Kemper, Gregor
6 Kerner, Dmitry
6 Mond, David Michael Quentin
6 Oréfice-Okamoto, B.
6 Soares Ruas, Maria Aparecida
6 Sturmfels, Bernd
6 Wahl, Jonathan M.
6 Wang, Mingsheng
5 Bruns, Winfried
5 Buchweitz, Ragnar-Olaf
5 Faenzi, Daniele
5 Gusein-Zade, Sabir M.
5 He, Yang-Hui Evariste
5 Hernandes, Marcelo Escudeiro
5 Kharlamov, Viatcheslav M.
5 Krasiński, Tadeusz
5 Leuschke, Graham J.
5 Marais, Magdaleen S.
5 Piipponen, Samuli
5 Ravindra, Girivaru V.
5 Romanovski, Valery G.
5 Schreyer, Frank-Olaf
5 Schulze, Mathias
5 Seade, Jose Antonio
5 Tuomela, Jukka
5 Tyomkin, Ilya
5 van Straten, Duco
5 Villarreal, Rafael Heraclio
5 Walewska, Justyna
4 Algaba, Antonio
4 Arponen, Teijo
4 Arslan, Feza
4 Borodzik, Maciej
4 Brickenstein, Michael
4 Brzostowski, Szymon
4 Chen, Jianmin
4 Conca, Aldo
4 Costa, Laura
4 Coutinho, S. C.
4 Damon, James Norman
4 de Góes Grulha, Nivaldo jun.
4 Drton, Mathias
4 Dutertre, Nicolas
4 Eisenbud, David
4 Eyral, Christophe
4 Flamini, Flaminio
4 Gaffney, Terence
4 García, Cristóbal
4 Gerdt, Vladimir P.
4 Granger, Michel
4 Hauser, Herwig
4 Huh, Sukmoon
4 Ingalls, Colin
4 Itenberg, Ilia V.
4 Iyama, Osamu
4 Keller, Bernhard
4 Laplagne, Santiago
4 Li, Dongmei
4 Lossen, Christoph
4 Noro, Masayuki
4 Pham, Thuy Huong
4 Planas-Vilanova, Francesc
4 Ren, Yue
4 Saia, Marcelo José
4 Schönemann, Hans
...and 995 more Authors
all top 5

Cited in 217 Serials

69 Journal of Algebra
58 Journal of Symbolic Computation
51 Journal of Pure and Applied Algebra
31 Mathematische Zeitschrift
26 Proceedings of the American Mathematical Society
25 Communications in Algebra
25 Manuscripta Mathematica
24 Transactions of the American Mathematical Society
21 Advances in Mathematics
21 Annales de l’Institut Fourier
21 Mathematische Annalen
19 International Journal of Mathematics
18 Compositio Mathematica
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Mathematics of Computation
11 Duke Mathematical Journal
11 Journal of Algebraic Geometry
10 Functional Analysis and its Applications
10 Inventiones Mathematicae
10 Algebras and Representation Theory
10 Bulletin of the Brazilian Mathematical Society. New Series
10 Central European Journal of Mathematics
9 Revista Matemática Complutense
8 Archiv der Mathematik
8 Multidimensional Systems and Signal Processing
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal of Mathematical Sciences (New York)
8 Journal of the European Mathematical Society (JEMS)
8 Journal of Algebra and its Applications
7 Israel Journal of Mathematics
7 Geometriae Dedicata
7 Applicable Algebra in Engineering, Communication and Computing
7 Journal of High Energy Physics
7 Mathematics in Computer Science
6 Communications in Mathematical Physics
6 Journal of Mathematical Analysis and Applications
6 Journal für die Reine und Angewandte Mathematik
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 International Journal of Algebra and Computation
6 Bulletin des Sciences Mathématiques
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Programming and Computer Software
5 Geometry & Topology
5 Forum of Mathematics, Sigma
5 European Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Bulletin de la Société Mathématique de France
4 Collectanea Mathematica
4 Publications Mathématiques
4 Journal of the Mathematical Society of Japan
4 Discrete & Computational Geometry
4 Linear Algebra and its Applications
4 Bulletin of the American Mathematical Society. New Series
4 Foundations of Computational Mathematics
4 Mediterranean Journal of Mathematics
3 Letters in Mathematical Physics
3 Ukrainian Mathematical Journal
3 Journal of Geometry and Physics
3 Annals of the Institute of Statistical Mathematics
3 Mathematische Nachrichten
3 Monatshefte für Mathematik
3 Nagoya Mathematical Journal
3 Proceedings of the Japan Academy. Series A
3 Proceedings of the London Mathematical Society. Third Series
3 Rendiconti del Seminario Matematico della Università di Padova
3 Results in Mathematics
3 Topology and its Applications
3 Advances in Applied Mathematics
3 Systems & Control Letters
3 Bulletin of the Iranian Mathematical Society
3 The Journal of Geometric Analysis
3 St. Petersburg Mathematical Journal
3 Selecta Mathematica. New Series
3 Transformation Groups
3 Advances in Geometry
3 Journal of Systems Science and Complexity
3 Proceedings of the Steklov Institute of Mathematics
3 Journal of Topology
3 Science China. Mathematics
2 Journal of Mathematical Biology
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 The Annals of Statistics
2 Applied Mathematics and Computation
2 Bulletin of the London Mathematical Society
2 Glasgow Mathematical Journal
2 Michigan Mathematical Journal
2 Osaka Journal of Mathematics
2 Chinese Annals of Mathematics. Series B
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Japan Journal of Industrial and Applied Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Experimental Mathematics
2 Bernoulli
2 Multibody System Dynamics
2 Annals of Mathematics. Second Series
2 Algebra and Discrete Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Singularities
...and 117 more Serials
all top 5

Cited in 48 Fields

586 Algebraic geometry (14-XX)
324 Commutative algebra (13-XX)
281 Several complex variables and analytic spaces (32-XX)
99 Associative rings and algebras (16-XX)
85 Computer science (68-XX)
52 Global analysis, analysis on manifolds (58-XX)
41 Category theory; homological algebra (18-XX)
36 Group theory and generalizations (20-XX)
29 Number theory (11-XX)
25 Ordinary differential equations (34-XX)
25 Manifolds and cell complexes (57-XX)
23 Differential geometry (53-XX)
19 Nonassociative rings and algebras (17-XX)
19 Dynamical systems and ergodic theory (37-XX)
17 Combinatorics (05-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Field theory and polynomials (12-XX)
15 Numerical analysis (65-XX)
15 Information and communication theory, circuits (94-XX)
14 Partial differential equations (35-XX)
14 Quantum theory (81-XX)
14 Systems theory; control (93-XX)
13 Convex and discrete geometry (52-XX)
11 Statistics (62-XX)
9 Mechanics of particles and systems (70-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
6 Functions of a complex variable (30-XX)
6 Geometry (51-XX)
5 Real functions (26-XX)
5 Algebraic topology (55-XX)
5 Operations research, mathematical programming (90-XX)
4 Topological groups, Lie groups (22-XX)
4 Special functions (33-XX)
4 Difference and functional equations (39-XX)
4 Relativity and gravitational theory (83-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
2 \(K\)-theory (19-XX)
2 Operator theory (47-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)

Citations by Year

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