Edit Profile (opens in new tab) Pfister, Gerhard Co-Author Distance Author ID: pfister.gerhard Published as: Pfister, Gerhard; Pfister, G. Homepage: http://www.mathematik.uni-kl.de/~pfister/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 110 Publications since 1973, including 9 Books 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 633 Reviews Co-Authors: 68 Co-Authors with 103 Joint Publications 966 Co-Co-Authors all top 5 Co-Authors 10 single-authored 25 Greuel, Gert-Martin 15 Popescu, Dorin 11 Martin, Bernd 10 Decker, Wolfram 8 Roczen, Marko 7 Schönemann, Hans 6 Böhm, Janko 6 Kurke, Herbert 5 Afzal, Deeba 5 Steidel, Stefan 4 Laplagne, Santiago 4 Lossen, Christoph 4 Mehmood, Khawar 3 Binyamin, Muhammad Ahsan 3 de Jong, Theo 3 Fitzner, Heinz-Jörg 3 Frühbis-Krüger, Anne 3 Kleinert, Werner 3 Laudal, Olav Arnfinn 3 Zink, Thomas 2 Bachmann, Olaf 2 Bandman, Tatiana M. 2 Eder, Christian 2 Ene, Viviana 2 Fieker, Claus 2 Grunewald, Fritz J. 2 Idrees, Nazeran 2 Janjua, Faira Kanwal 2 Kanwal, Shamsa 2 Kunyavskiĭ, Boris Èmmanuilovich 2 Mostowski, Tadeusz 2 Popescu, Adrian 2 Sadiq, Afshan 2 Steenpaß, Andreas 1 Afzal, Farkhanda 1 Al-Rashed, Shawki 1 Aouira, Safwan 1 Aslam, Saima 1 Baciu, Corina 1 Banyamin, Muhammad Ahsan 1 Bates, Daniel J. 1 Brezuleanu, Alexandru 1 Cojocaru, Svetlana 1 Enescu, Florian 1 Fernández de Bobadilla, Javier 1 Grassmann, Hubert 1 Hauenstein, Jonathan D. 1 Hertling, Claus 1 Javed, Nimra 1 Khalid, Asma 1 Kosar, Zunaira 1 Kreußler, Bernd 1 Laza, Radu 1 Levandovskyy, Viktor 1 Luengo, Ignacio 1 Marais, Magdaleen S. 1 Mubarak, Sidra 1 Neumann, Wolfgang 1 Peterson, Chris 1 Płoski, Arkadiusz 1 Pohl, Wilfred 1 Romanovskiĭ, Valeriĭ Georgievich 1 Schreyer, Frank-Olaf 1 Schulze, Mathias 1 Siebert, Thomas 1 Sommese, Andrew John 1 Steenbrink, Joseph H. M. 1 Ufnarovski, Victor Anatol’evich 1 Wampler, Charles W. II 1 Yaqub, Asad all top 5 Serials 7 Journal of Symbolic Computation 6 Beiträge zur Algebra und Geometrie 6 Mathematische Nachrichten 5 Communications in Algebra 5 Revue Roumaine de Mathématiques Pures et Appliquées 4 Studia Scientiarum Mathematicarum Hungarica 4 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 3 Journal of Algebra 3 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 2 Archiv der Mathematik 2 Compositio Mathematica 2 Mathematische Zeitschrift 2 Journal of Algebraic Geometry 2 Central European Journal of Mathematics 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 2 Lecture Notes in Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 Revista Ciencias Matemáticas 1 Revista Matemática de la Universidad Complutense de Madrid 1 International Journal of Algebra and Computation 1 Doklady Bolgarskoĭ Akademii Nauk 1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 1 Applicable Algebra in Engineering, Communication and Computing 1 Computer Science Journal of Moldova 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Journal of Algebra and its Applications 1 London Mathematical Society Lecture Note Series 1 NATO Science Series III: Computer & Systems Sciences 1 Mathematics in Computer Science 1 ACM Communications in Computer Algebra 1 Journal of Singularities 1 IMPAN Lecture Notes all top 5 Fields 89 Algebraic geometry (14-XX) 62 Commutative algebra (13-XX) 21 Several complex variables and analytic spaces (32-XX) 17 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 Group theory and generalizations (20-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 852 times in 679 Documents Cited by ▼ Year ▼ SINGULAR: a computer algebra system for polynomial computations. Zbl 1344.13002Greuel, G. M.; Pfister, G.; Schönemann, H. 246 2008 A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. Zbl 1023.13001Greuel, Gert-Martin; Pfister, Gerhard 75 2002 Local analytic geometry. Basic theory and applications. Zbl 0959.32011de Jong, Theo; Pfister, Gerhard 68 2000 A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. 2nd extended ed. Zbl 1133.13001Greuel, Gert-Martin; Pfister, Gerhard 64 2007 Primary decomposition: Algorithms and comparisons. Zbl 0932.13019Decker, Wolfram; Greuel, Gert-Martin; Pfister, Gerhard 39 1999 Die Approximationseigenschaft lokaler Ringe. (The approximation property of local rings.) Zbl 0401.13013Kurke, Herbert; Pfister, Gerhard; Popescu, Dorin; Roczen, Marco; Mostowski, Tadeusz 22 1978 Henselsche Ringe und algebraische Geometrie. Zbl 0306.13012Kurke, H.; Pfister, G.; Roczen, M. 21 1975 Die Approximationseigenschaften lokaler Ringe. Zbl 0293.13011Pfister, Gerhard; Popescu, Dorin 18 1975 Advances and improvements in the theory of standard bases and syzygies. Zbl 0854.13015Greuel, G.-M.; Pfister, G. 17 1996 SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra. Zbl 0902.14040Greuel, G.-M.; Pfister, G.; Schönemann, H. 16 1997 Identities for finite solvable groups and equations in finite simple groups. Zbl 1112.20016Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene 16 2006 The use of bad primes in rational reconstruction. Zbl 1326.13018Böhm, Janko; Decker, Wolfram; Fieker, Claus; Pfister, Gerhard 12 2015 Moduli spaces for torsion free modules on curve singularities. I. Zbl 0785.14016Greuel, Gert-Martin; Pfister, Gerhard 11 1993 Numerische Charakterisierung quasihomogener Gorenstein- Kurvensingularitäten. Zbl 0587.14016Greuel, G.-M.; Martin, B.; Pfister, G. 11 1985 Parallel algorithms for normalization. Zbl 1408.13072Böhm, Janko; Decker, Wolfram; Laplagne, Santiago; Pfister, Gerhard; Steenpaß, Andreas; Steidel, Stefan 11 2013 Normal forms and moduli spaces of curve singularities with semigroup \(<2p,2q,2pq+d>\). Zbl 0725.14021Luengo, Ignacio; Pfister, Gerhard 11 1990 Parallelization of modular algorithms. Zbl 1229.13002Idrees, Nazeran; Pfister, Gerhard; Steidel, Stefan 11 2011 Reduced Hilbert schemes for irreducible curve singularities. Zbl 0752.14007Pfister, G.; Steenbrink, J. H. M. 10 1992 Geometric quotients of unipotent group actions. Zbl 0806.14034Greuel, Gert-Martin; Pfister, Gerhard 10 1993 Maximal Cohen-Macaulay modules over the cone of an elliptic curve. Zbl 1056.14048Laza, Radu; Pfister, Gerhard; Popescu, Dorin 9 2002 Two-variable identities for finite solvable groups. Zbl 1047.20014Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene 9 2003 Local moduli and singularities. Appendix (by B. Martin and G. Pfister): An algorithm to compute the kernel of the Kodaira-Spencer map for an irreducible plane curve singularity. Zbl 0657.14005Laudal, Olav Arnfinn; Pfister, Gerhard 8 1988 Moduli of plane curve singularities with \({\mathbb{C}}^*\)-action. Zbl 0691.14018Laudal, O. A.; Martin, B.; Pfister, G. 7 1988 Evaluating cyclicity of cubic systems with algorithms of computational algebra. Zbl 1280.34038Levandovskyy, Viktor; Pfister, Gerhard; Romanovski, Valery G. 7 2012 Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Zbl 1410.65205Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W. 6 2014 On an implementation of standard bases and syzygies in SINGULAR. Zbl 0854.13016Grassmann, H.; Greuel, G.-M.; Martin, B.; Neumann, W.; Pfister, G.; Pohl, W.; Schönemann, H.; Siebert, T. 5 1996 Geometric quotients of unipotent group actions. II. Zbl 0940.14032Greuel, Gert-Martin; Pfister, Gerhard 5 1998 Milnor number of complete intersections and Newton polygons. Zbl 0556.32004Martin, Bernd; Pfister, Gerhard 5 1983 On modular computation of standard basis. Zbl 1199.13032Pfister, Gerhard 5 2007 Singularities with exact Poincaré complex but not quasihomogeneous. Zbl 0708.14018Pfister, Gerhard; Schönemann, Hans 4 1989 Deformations of maximal Cohen-Macaulay modules. Zbl 0870.13003Pfister, Gerhard; Popescu, Dorin 4 1996 Moduli for singularities. Zbl 0823.14001Greuel, Gert-Martin; Pfister, Gerhard 4 1994 The normalization: A new algorithm, implementation and comparisons. Zbl 0942.13010Decker, Wolfram; de Jong, Theo; Greuel, Gert-Martin; Pfister, Gerhard 4 1999 Local to global algorithms for the Gorenstein adjoint ideal of a curve. Zbl 1402.14076Böhm, Janko; Decker, Wolfram; Laplagne, Santiago; Pfister, Gerhard 4 2017 Betti numbers for \(p\)-stable ideals. Zbl 0981.13007Ene, Viviana; Pfister, Gerhard; Popescu, Dorin 4 2000 The kernel of the Kodaira-Spencer map of the versal \(\mu\)-constant deformation of an irreducible plane curve singularity with \({\mathbb{C}}^ r\)-action. Zbl 0697.14020Martin, Bernd; Pfister, Gerhard 3 1989 Bad primes in computational algebraic geometry. Zbl 1437.14059Böhm, Janko; Decker, Wolfram; Fieker, Claus; Laplagne, Santiago; Pfister, Gerhard 3 2016 Tangent space to the orbit of an algebraic group action. Zbl 1413.14002Afzal, Deeba; Kanwal, Shamsa; Pfister, Gerhard 3 2018 A first course in computational algebraic geometry. Zbl 1282.14001Decker, Wolfram; Pfister, Gerhard 3 2013 Computer algebra and finite groups. Zbl 1066.68163Greuel, Gert-Martin; Pfister, Gerhard 3 2002 Constructive general Néron desingularization for one dimensional local rings. Zbl 1406.13006Pfister, Gerhard; Popescu, Dorin 3 2017 Constructive Néron Desingularization of algebras with big smooth locus. Zbl 1439.13029Kosar, Zunaira; Pfister, Gerhard; Popescu, Dorin 2 2018 A uniform general Neron desingularization in dimension one. Zbl 1405.13016Khalid, Asma; Pfister, Gerhard; Popescu, Dorin 2 2018 Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Zbl 0877.14010Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard 2 1997 On three dimensional local rings with the property of approximation. Zbl 0486.13009Pfister, Gerhard; Popescu, Dorin 2 1981 A family of Cohen-Macaulay modules over singularities of type \(X^t+Y^3\). Zbl 0931.14028Pfister, Gerhard; Popescu, Dorin 2 1999 Einige Bemerkungen zur Struktur lokaler Henselscher Ringe. Zbl 0322.13014Pfister, Gerhard 2 1975 Recognition of unimodal map germs from the plane to the plane by invariants. Zbl 1405.14069Aslam, Saima; Binyamin, Muhammad Ahsan; Pfister, Gerhard 2 2018 Unimodal singularities of parametrized plane curves. Zbl 1399.57008Mehmood, Khawar; Pfister, Gerhard 2 2017 An algorithm to compute a primary decomposition of modules in polynomial rings over the integers. Zbl 1349.13058Idrees, Nazeran; Pfister, Gerhard; Sadiq, Afshan 2 2015 Some applications of resolution of singularities from the practical point of view. Zbl 1102.14042Frühbis-Krüger, Anne; Pfister, Gerhard 2 2005 Algorithmic resolution of singularities. Zbl 1101.14015Frühbis-Krüger, Anne; Pfister, Gerhard 2 2006 SINGULAR and applications. Zbl 1112.13029Greuel, Gert-Martin; Pfister, Gerhard 2 2006 Infinitesimal module deformations in the Thom-Sebastiani problem. Zbl 0931.13007Enescu, Florian; Pfister, Gerhard; Popescu, Dorin 2 1997 Semicontinuity of singularity invariants in families of formal power series. Zbl 1487.14008Greuel, Gert-Martin; Pfister, Gerhard 2 2021 On signature-based Gröbner bases over Euclidean rings. Zbl 1458.13032Eder, Christian; Pfister, Gerhard; Popescu, Adrian 2 2017 On the primary decomposition of some determinantal hyperedge ideal. Zbl 1467.13062Pfister, Gerhard; Steenpaß, Andreas 2 2021 The tangent cone algorithm and some applications to local algebraic geometry. Zbl 0737.14019Pfister, Gerhard 1 1991 Moduli of irreducible plane curve singularities with the semigroup \(<a,b>\). Zbl 0617.14021Laudal, Olav Arnfinn; Martin, Bernd; Pfister, Gerhard 1 1986 Solving via modular methods. Zbl 1328.13037Afzal, Deeba; Janjua, Faira Kanwal; Pfister, Gerhard; Steidel, Stefan 1 2014 The moduli of irreducible curve singularities with the semigroup \(\Gamma =<5,11>\). Zbl 0696.14015Martin, Bernd; Pfister, Gerhard 1 1988 On moduli spaces of semiquasihomogeneous singularities. Zbl 0862.14002Greuel, Gert-Martin; Pfister, Gerhard 1 1996 Ein Vorbereitungssatz für Ideale in algebraischen Potenzreihenringen. Zbl 0329.14001Pfister, G.; Roczen, M. 1 1976 Zum Satz von Weierstrass-Grauert für algebraische Potenzreihen. Zbl 0364.14002Roczen, Marko; Pfister, Gerhard 1 1976 Die Approximationseigenschaft von Primidealen. Zbl 0475.13003Pfister, Gerhard; Popescu, Dorin 1 1980 Gröbner bases and algebraic geometry. Zbl 0930.13020Greuel, Gert-Martin; Pfister, Gerhard 1 1998 Algebraische ausgezeichnete Deformationen in der Ebene. Zbl 0286.14006Roczen, Marko; Pfister, Gerhard 1 1976 An algorithm for primary decomposition in polynomial rings over the integers. Zbl 1246.13028Pfister, Gerhard; Sadiq, Afshan; Steidel, Stefan 1 2011 Construction of Néron desingularization for two dimensional rings. Zbl 1402.13010Pfister, Gerhard; Popescu, Dorin 1 2017 Unimodular ICIS, a classifier. Zbl 1399.14002Afzal, Deeba; Afzal, Farkhanda; Mubarak, Sidra; Pfister, Gerhard; Yaqub, Asad 1 2017 Simple singularities of parametrized plane curves in positive characteristic. Zbl 1408.14100Mehmood, Khawar; Pfister, Gerhard 1 2018 On the property of approximation of two-dimensional local rings. Zbl 0369.13016Pfister, Gerhard 1 1977 Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Zbl 1369.14004 1 2017 A classifier for simple isolated complete intersection singularities. Zbl 1349.14126Afzal, Deeba; Pfister, Gerhard 1 2015 Singularities and computer algebra. Selected papers of the conference, Kaiserslautern, Germany, October 18–20, 2004 on the occasion of Gert-Martin Greuel’s 60th birthday. Zbl 1086.14001 1 2006 A classification algorithm for complex singularities of corank and modality up to two. Zbl 1376.14005Böhm, Janko; Marais, Magdaleen S.; Pfister, Gerhard 1 2017 Rank 2 Cohen-Macaulay modules over singularities of type \(x_1^3+x_2^3+x_3^3+x_4^3\). Zbl 1097.14034Baciu, C.; Ene, V.; Pfister, G.; Popescu, D. 1 2005 A classifier for simple space curve singularities. Zbl 1299.14046Janjua, Faira Kanwal; Pfister, Gerhard 1 2014 Using semicontinuity for standard bases computations. Zbl 07632792Greuel, Gert-Martin; Pfister, Gerhard; Schönemann, Hans 1 2022 Standard bases over Euclidean domains. Zbl 1444.13035Eder, Christian; Pfister, Gerhard; Popescu, Adrian 1 2021 Using semicontinuity for standard bases computations. Zbl 07632792Greuel, Gert-Martin; Pfister, Gerhard; Schönemann, Hans 1 2022 Semicontinuity of singularity invariants in families of formal power series. Zbl 1487.14008Greuel, Gert-Martin; Pfister, Gerhard 2 2021 On the primary decomposition of some determinantal hyperedge ideal. Zbl 1467.13062Pfister, Gerhard; Steenpaß, Andreas 2 2021 Standard bases over Euclidean domains. Zbl 1444.13035Eder, Christian; Pfister, Gerhard; Popescu, Adrian 1 2021 Tangent space to the orbit of an algebraic group action. Zbl 1413.14002Afzal, Deeba; Kanwal, Shamsa; Pfister, Gerhard 3 2018 Constructive Néron Desingularization of algebras with big smooth locus. Zbl 1439.13029Kosar, Zunaira; Pfister, Gerhard; Popescu, Dorin 2 2018 A uniform general Neron desingularization in dimension one. Zbl 1405.13016Khalid, Asma; Pfister, Gerhard; Popescu, Dorin 2 2018 Recognition of unimodal map germs from the plane to the plane by invariants. Zbl 1405.14069Aslam, Saima; Binyamin, Muhammad Ahsan; Pfister, Gerhard 2 2018 Simple singularities of parametrized plane curves in positive characteristic. Zbl 1408.14100Mehmood, Khawar; Pfister, Gerhard 1 2018 Local to global algorithms for the Gorenstein adjoint ideal of a curve. Zbl 1402.14076Böhm, Janko; Decker, Wolfram; Laplagne, Santiago; Pfister, Gerhard 4 2017 Constructive general Néron desingularization for one dimensional local rings. Zbl 1406.13006Pfister, Gerhard; Popescu, Dorin 3 2017 Unimodal singularities of parametrized plane curves. Zbl 1399.57008Mehmood, Khawar; Pfister, Gerhard 2 2017 On signature-based Gröbner bases over Euclidean rings. Zbl 1458.13032Eder, Christian; Pfister, Gerhard; Popescu, Adrian 2 2017 Construction of Néron desingularization for two dimensional rings. Zbl 1402.13010Pfister, Gerhard; Popescu, Dorin 1 2017 Unimodular ICIS, a classifier. Zbl 1399.14002Afzal, Deeba; Afzal, Farkhanda; Mubarak, Sidra; Pfister, Gerhard; Yaqub, Asad 1 2017 Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Zbl 1369.14004 1 2017 A classification algorithm for complex singularities of corank and modality up to two. Zbl 1376.14005Böhm, Janko; Marais, Magdaleen S.; Pfister, Gerhard 1 2017 Bad primes in computational algebraic geometry. Zbl 1437.14059Böhm, Janko; Decker, Wolfram; Fieker, Claus; Laplagne, Santiago; Pfister, Gerhard 3 2016 The use of bad primes in rational reconstruction. Zbl 1326.13018Böhm, Janko; Decker, Wolfram; Fieker, Claus; Pfister, Gerhard 12 2015 An algorithm to compute a primary decomposition of modules in polynomial rings over the integers. Zbl 1349.13058Idrees, Nazeran; Pfister, Gerhard; Sadiq, Afshan 2 2015 A classifier for simple isolated complete intersection singularities. Zbl 1349.14126Afzal, Deeba; Pfister, Gerhard 1 2015 Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. Zbl 1410.65205Bates, Daniel J.; Decker, Wolfram; Hauenstein, Jonathan D.; Peterson, Chris; Pfister, Gerhard; Schreyer, Frank-Olaf; Sommese, Andrew J.; Wampler, Charles W. 6 2014 Solving via modular methods. Zbl 1328.13037Afzal, Deeba; Janjua, Faira Kanwal; Pfister, Gerhard; Steidel, Stefan 1 2014 A classifier for simple space curve singularities. Zbl 1299.14046Janjua, Faira Kanwal; Pfister, Gerhard 1 2014 Parallel algorithms for normalization. Zbl 1408.13072Böhm, Janko; Decker, Wolfram; Laplagne, Santiago; Pfister, Gerhard; Steenpaß, Andreas; Steidel, Stefan 11 2013 A first course in computational algebraic geometry. Zbl 1282.14001Decker, Wolfram; Pfister, Gerhard 3 2013 Evaluating cyclicity of cubic systems with algorithms of computational algebra. Zbl 1280.34038Levandovskyy, Viktor; Pfister, Gerhard; Romanovski, Valery G. 7 2012 Parallelization of modular algorithms. Zbl 1229.13002Idrees, Nazeran; Pfister, Gerhard; Steidel, Stefan 11 2011 An algorithm for primary decomposition in polynomial rings over the integers. Zbl 1246.13028Pfister, Gerhard; Sadiq, Afshan; Steidel, Stefan 1 2011 SINGULAR: a computer algebra system for polynomial computations. Zbl 1344.13002Greuel, G. M.; Pfister, G.; Schönemann, H. 246 2008 A Singular introduction to commutative algebra. With contributions by Olaf Bachmann, Christoph Lossen and Hans Schönemann. 2nd extended ed. Zbl 1133.13001Greuel, Gert-Martin; Pfister, Gerhard 64 2007 On modular computation of standard basis. Zbl 1199.13032Pfister, Gerhard 5 2007 Identities for finite solvable groups and equations in finite simple groups. Zbl 1112.20016Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene 16 2006 Algorithmic resolution of singularities. Zbl 1101.14015Frühbis-Krüger, Anne; Pfister, Gerhard 2 2006 SINGULAR and applications. Zbl 1112.13029Greuel, Gert-Martin; Pfister, Gerhard 2 2006 Singularities and computer algebra. Selected papers of the conference, Kaiserslautern, Germany, October 18–20, 2004 on the occasion of Gert-Martin Greuel’s 60th birthday. Zbl 1086.14001 1 2006 Some applications of resolution of singularities from the practical point of view. Zbl 1102.14042Frühbis-Krüger, Anne; Pfister, Gerhard 2 2005 Rank 2 Cohen-Macaulay modules over singularities of type \(x_1^3+x_2^3+x_3^3+x_4^3\). Zbl 1097.14034Baciu, C.; Ene, V.; Pfister, G.; Popescu, D. 1 2005 Two-variable identities for finite solvable groups. Zbl 1047.20014Bandman, 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 1023.13001Greuel, Gert-Martin; Pfister, Gerhard 75 2002 Maximal Cohen-Macaulay modules over the cone of an elliptic curve. Zbl 1056.14048Laza, Radu; Pfister, Gerhard; Popescu, Dorin 9 2002 Computer algebra and finite groups. Zbl 1066.68163Greuel, Gert-Martin; Pfister, Gerhard 3 2002 Local analytic geometry. Basic theory and applications. Zbl 0959.32011de Jong, Theo; Pfister, Gerhard 68 2000 Betti numbers for \(p\)-stable ideals. Zbl 0981.13007Ene, Viviana; Pfister, Gerhard; Popescu, Dorin 4 2000 Primary decomposition: Algorithms and comparisons. Zbl 0932.13019Decker, Wolfram; Greuel, Gert-Martin; Pfister, Gerhard 39 1999 The normalization: A new algorithm, implementation and comparisons. Zbl 0942.13010Decker, Wolfram; de Jong, Theo; Greuel, Gert-Martin; Pfister, Gerhard 4 1999 A family of Cohen-Macaulay modules over singularities of type \(X^t+Y^3\). Zbl 0931.14028Pfister, Gerhard; Popescu, Dorin 2 1999 Geometric quotients of unipotent group actions. II. Zbl 0940.14032Greuel, Gert-Martin; Pfister, Gerhard 5 1998 Gröbner bases and algebraic geometry. Zbl 0930.13020Greuel, Gert-Martin; Pfister, Gerhard 1 1998 SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra. Zbl 0902.14040Greuel, G.-M.; Pfister, G.; Schönemann, H. 16 1997 Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Zbl 0877.14010Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard 2 1997 Infinitesimal module deformations in the Thom-Sebastiani problem. Zbl 0931.13007Enescu, Florian; Pfister, Gerhard; Popescu, Dorin 2 1997 Advances and improvements in the theory of standard bases and syzygies. Zbl 0854.13015Greuel, G.-M.; Pfister, G. 17 1996 On an implementation of standard bases and syzygies in SINGULAR. Zbl 0854.13016Grassmann, H.; Greuel, G.-M.; Martin, B.; Neumann, W.; Pfister, G.; Pohl, W.; Schönemann, H.; Siebert, T. 5 1996 Deformations of maximal Cohen-Macaulay modules. Zbl 0870.13003Pfister, Gerhard; Popescu, Dorin 4 1996 On moduli spaces of semiquasihomogeneous singularities. Zbl 0862.14002Greuel, Gert-Martin; Pfister, Gerhard 1 1996 Moduli for singularities. Zbl 0823.14001Greuel, Gert-Martin; Pfister, Gerhard 4 1994 Moduli spaces for torsion free modules on curve singularities. I. Zbl 0785.14016Greuel, Gert-Martin; Pfister, Gerhard 11 1993 Geometric quotients of unipotent group actions. Zbl 0806.14034Greuel, Gert-Martin; Pfister, Gerhard 10 1993 Reduced Hilbert schemes for irreducible curve singularities. Zbl 0752.14007Pfister, G.; Steenbrink, J. H. M. 10 1992 The tangent cone algorithm and some applications to local algebraic geometry. Zbl 0737.14019Pfister, Gerhard 1 1991 Normal forms and moduli spaces of curve singularities with semigroup \(<2p,2q,2pq+d>\). Zbl 0725.14021Luengo, Ignacio; Pfister, Gerhard 11 1990 Singularities with exact Poincaré complex but not quasihomogeneous. Zbl 0708.14018Pfister, Gerhard; Schönemann, Hans 4 1989 The kernel of the Kodaira-Spencer map of the versal \(\mu\)-constant deformation of an irreducible plane curve singularity with \({\mathbb{C}}^ r\)-action. Zbl 0697.14020Martin, Bernd; Pfister, Gerhard 3 1989 Local moduli and singularities. Appendix (by B. Martin and G. Pfister): An algorithm to compute the kernel of the Kodaira-Spencer map for an irreducible plane curve singularity. Zbl 0657.14005Laudal, Olav Arnfinn; Pfister, Gerhard 8 1988 Moduli of plane curve singularities with \({\mathbb{C}}^*\)-action. Zbl 0691.14018Laudal, O. A.; Martin, B.; Pfister, G. 7 1988 The moduli of irreducible curve singularities with the semigroup \(\Gamma =<5,11>\). Zbl 0696.14015Martin, Bernd; Pfister, Gerhard 1 1988 Moduli of irreducible plane curve singularities with the semigroup \(<a,b>\). Zbl 0617.14021Laudal, Olav Arnfinn; Martin, Bernd; Pfister, Gerhard 1 1986 Numerische Charakterisierung quasihomogener Gorenstein- Kurvensingularitäten. Zbl 0587.14016Greuel, G.-M.; Martin, B.; Pfister, G. 11 1985 Milnor number of complete intersections and Newton polygons. Zbl 0556.32004Martin, Bernd; Pfister, Gerhard 5 1983 On three dimensional local rings with the property of approximation. Zbl 0486.13009Pfister, Gerhard; Popescu, Dorin 2 1981 Die Approximationseigenschaft von Primidealen. Zbl 0475.13003Pfister, Gerhard; Popescu, Dorin 1 1980 Die Approximationseigenschaft lokaler Ringe. (The approximation property of local rings.) Zbl 0401.13013Kurke, Herbert; Pfister, Gerhard; Popescu, Dorin; Roczen, Marco; Mostowski, Tadeusz 22 1978 On the property of approximation of two-dimensional local rings. Zbl 0369.13016Pfister, Gerhard 1 1977 Ein Vorbereitungssatz für Ideale in algebraischen Potenzreihenringen. Zbl 0329.14001Pfister, G.; Roczen, M. 1 1976 Zum Satz von Weierstrass-Grauert für algebraische Potenzreihen. Zbl 0364.14002Roczen, Marko; Pfister, Gerhard 1 1976 Algebraische ausgezeichnete Deformationen in der Ebene. Zbl 0286.14006Roczen, Marko; Pfister, Gerhard 1 1976 Henselsche Ringe und algebraische Geometrie. Zbl 0306.13012Kurke, H.; Pfister, G.; Roczen, M. 21 1975 Die Approximationseigenschaften lokaler Ringe. Zbl 0293.13011Pfister, Gerhard; Popescu, Dorin 18 1975 Einige Bemerkungen zur Struktur lokaler Henselscher Ringe. Zbl 0322.13014Pfister, Gerhard 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 822 Authors 30 Pfister, Gerhard 20 Greuel, Gert-Martin 17 Popescu, Dorin 13 Giné, Jaume 11 Böhm, Janko 11 Hashemi, Amir 10 Fernando, José F. 10 He, Yang-Hui Evariste 9 Frühbis-Krüger, Anne 9 Levandovskyy, Viktor 8 Bivià-Ausina, Carles 8 Decker, Wolfram 8 Ferčec, Brigita 8 Kunyavskiĭ, Boris Èmmanuilovich 8 Nuño-Ballesteros, Juan José 8 Romanovskiĭ, Valeriĭ Georgievich 7 Binyamin, Muhammad Ahsan 7 Gray, James A. 7 Hauenstein, Jonathan D. 7 Liu, Jinwang 7 Nabeshima, Katsusuke 7 Schulze, Mathias 7 Tajima, Shinichi 6 Anderson, Lara B. 6 Escudero, Juan García 6 Grunewald, Fritz J. 6 Hauser, Herwig 6 Kemper, Gregor 6 Lukas, André 6 Wang, Mingsheng 5 Algaba, Antonio 5 Altmann, Klaus 5 Conca, Aldo 5 Eder, Christian 5 García, Cristóbal 5 Hefez, Abramo 5 Hernandes, Marcelo Escudeiro 5 Marais, Magdaleen S. 5 Markwig, Thomas 5 Martin, Bernd 5 Movasati, Hossein 5 Piipponen, Samuli 5 Popescu-Pampu, Patrick 5 Schönemann, Hans 5 Seiler, Werner M. 5 Sommese, Andrew John 5 Steidel, Stefan 5 Sturmfels, Bernd 5 Tuomela, Jukka 5 Villarreal, Rafael Heraclio 4 Abbott, John A. 4 Almirón, Patricio 4 Arponen, Teijo 4 Arslan, Feza 4 Bilski, Marcin 4 Blanco, Guillem 4 Coutinho, S. C. 4 Drton, Mathias 4 Gordeev, Nikolai L. 4 Herzog, Jürgen 4 Kerner, Dmitry 4 La Scala, Roberto 4 Laplagne, Santiago 4 Leykin, Anton 4 Li, Dongmei 4 Mehmood, Khawar 4 Mencinger, Matej 4 Mete, Pinar 4 Nelson, Brent D. 4 Noro, Masayuki 4 O’Carroll, Liam 4 Oréfice-Okamoto, B. 4 Ovrut, Burt A. 4 Planas-Vilanova, Francesc 4 Ren, Yue 4 Robbiano, Lorenzo 4 Röhrle, Gerhard E. 4 Rond, Guillaume 4 Tiwari, Sharwan Kumar 4 Tomazella, João Nivaldo 4 Verschelde, Jan 4 Zerz, Eva 3 Acquistapace, Francesca 3 Aslam, Saima 3 Bandman, Tatiana M. 3 Becker, Joseph A. 3 Bigatti, Anna Maria 3 Boix, Alberto Fernandez 3 Braun, Volker 3 Brickenstein, Michael 3 Broglia, Fabrizio 3 Bruns, Winfried 3 Castro-Jiménez, Francisco Jesús 3 Dibitetto, Giuseppe 3 Edneral, Victor F. 3 Ene, Viviana 3 Faber, Eleonore 3 Fernández de Bobadilla, Javier 3 Jejjala, Vishnu 3 Khan, Junaid Alam ...and 722 more Authors all top 5 Cited in 184 Serials 68 Journal of Symbolic Computation 40 Journal of Algebra 23 Journal of High Energy Physics 22 Mathematische Zeitschrift 20 Journal of Pure and Applied Algebra 19 Communications in Algebra 14 Transactions of the American Mathematical Society 12 Annales de l’Institut Fourier 12 Manuscripta Mathematica 12 Proceedings of the American Mathematical Society 11 Mathematics of Computation 11 Mathematische Annalen 9 Advances in Mathematics 9 Multidimensional Systems and Signal Processing 9 Journal of Algebra and its Applications 9 Mathematics in Computer Science 8 International Journal of Algebra and Computation 8 Applicable Algebra in Engineering, Communication and Computing 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Compositio Mathematica 7 Inventiones Mathematicae 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 6 Journal of Mathematical Sciences (New York) 6 Central European Journal of Mathematics 6 Journal of Singularities 5 Israel Journal of Mathematics 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal of Algebraic Combinatorics 5 Foundations of Computational Mathematics 4 Communications in Mathematical Physics 4 Mathematische Nachrichten 4 Advances in Applied Mathematics 4 Discrete & Computational Geometry 4 Journal of Commutative Algebra 3 Annals of the Institute of Statistical Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Archiv der Mathematik 3 Journal of Computational and Applied Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Programming and Computer Software 3 Systems & Control Letters 3 Bulletin of the Iranian Mathematical Society 3 Japan Journal of Industrial and Applied Mathematics 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Experimental Mathematics 3 Journal of Algebraic Geometry 3 Bulletin des Sciences Mathématiques 3 Transformation Groups 3 Revista Matemática Complutense 3 Journal of Systems Science and Complexity 3 Mediterranean Journal of Mathematics 3 Forum of Mathematics, Sigma 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Linear and Multilinear Algebra 2 The Annals of Statistics 2 Collectanea Mathematica 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Monatshefte für Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Topology and its Applications 2 International Journal of Mathematics 2 Expositiones Mathematicae 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Computational Complexity 2 Annals of Mathematics and Artificial Intelligence 2 Bernoulli 2 Multibody System Dynamics 2 Nonlinear Dynamics 2 Qualitative Theory of Dynamical Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 European Journal of Mathematics 2 SIAM Journal on Applied Algebra and Geometry 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Journal of Engineering Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Nuclear Physics. B 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Beiträge zur Algebra und Geometrie 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 BIT 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal of Economic Theory ...and 84 more Serials all top 5 Cited in 49 Fields 339 Algebraic geometry (14-XX) 295 Commutative algebra (13-XX) 145 Several complex variables and analytic spaces (32-XX) 94 Computer science (68-XX) 37 Group theory and generalizations (20-XX) 34 Ordinary differential equations (34-XX) 32 Quantum theory (81-XX) 31 Associative rings and algebras (16-XX) 26 Number theory (11-XX) 23 Field theory and polynomials (12-XX) 23 Numerical analysis (65-XX) 21 Combinatorics (05-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Systems theory; control (93-XX) 16 Information and communication theory, circuits (94-XX) 15 Nonassociative rings and algebras (17-XX) 14 Convex and discrete geometry (52-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Functions of a complex variable (30-XX) 12 Statistics (62-XX) 10 Partial differential equations (35-XX) 9 Mechanics of particles and systems (70-XX) 8 Real functions (26-XX) 7 Differential geometry (53-XX) 6 Category theory; homological algebra (18-XX) 6 Special functions (33-XX) 6 Relativity and gravitational theory (83-XX) 5 Difference and functional equations (39-XX) 5 Manifolds and cell complexes (57-XX) 5 Biology and other natural sciences (92-XX) 4 Geometry (51-XX) 4 Operations research, mathematical programming (90-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-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 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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