Prof. Dr. Gerhard Pfister Publications
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Books

  1. H. Kurke / G. Pfister / M. Roczen: Henselsche Ringe und algebraische Geometrie,
    Deutscher Verlag der Wissenschaften Berlin 1975



  2. H. Kurke / T. Mostowski / G. Pfister / D. Popescu / M. Roczen: Die Approximationseigenschaft
    lokaler Ringe, Lecture Notes 634, Springer 1978



  3. O.A. Laudal / G. Pfister: Local Moduli and Singularities, Lecture Notes 1310, Springer 1988



  4. T. de Jong / G. Pfister: Local Analytic Geometry, Vieweg 2000



  5. appeared in Springer Series: Advanced Lectures in Mathematics 2013



  6. G.-M. Greuel / G. Pfister: A Singular Introduction to Commutative Algebra, Springer 2002



  7. second edition 2007



  8. Co-author of the
    Lexikon der Mathematik, Spektrum Verlag 2002



  9. S. Cojocaru/ G. Pfister/ V. Ufnarovski (Eds.):Computational Commutative and Non-commutative Algebraic Geometry, NATO Science Series III, Computer and Systems Sciences 196 (2005)

  10. C. Lossen/ G. Pfister (Eds.): Singularities and Computer Algebra. LMS Lecture Notes 324 , Cambridge University Press (2006)

  11. B. Kreußler/ G. Pfister: Mathematik für Informatiker, Springer 2009

  12. G. Pfister/ S. Steidel: Lecture Notes in Local Analytic Geometry, Publications du CIMPA, Lahore (2012)

  13. W. Decker/ G. Pfister: A First Course in Computational Algebraic Geometry, AIMS Library Series, Cambridge University Press 2013

  14. W. Decker/ G. Pfister / M. Schulze: Singularities and Computer Algebra - Festschrift for Gert-Martin Greuel On the Occasion of his 70th Birthday,Springer 2017

  15. W. Decker/ G. Pfister: Algebraic Geometry in Applications, in preparation

Articles

  1. G. Pfister: Ringe mit Approximationseigenschaft, Mathematische Nachrichten 57 (1973), 169-175
  2. G. Pfister: Algebraische Räume und ihre geometrische Realisierung, Mathematische Nachrichten 57 (1973), 177-182
  3. G. Pfister / M. Roczen: Algebraische Geometrie I, Wissenschaft und Fortschritt 10/1973
  4. G. Pfister / M. Roczen: Algebraische Geometrie II, Wissenschaft und Fortschritt 12/1973
  5. G. Pfister: Treuflache Äquivalenzrelationen in der Kategorie der lokal geringten Räume, Beiträge zur Algebra und Geometrie 3 (1974), 123-130
  6. G. Pfister: Einige Bemerkungen zur Struktur lokaler henselscher Ringe, Beiträge zur Algebra und Geometrie 4 (1975), 47-51
  7. G. Pfister / D. Popescu:Die strenge Approximationseigenschaft lokaler Ringe, Inventiones math. 30, 145-174 (1975)
  8. H.J. Fitzner /W. Kleinert/ H. Kurke /G. Pfister/ M. Roczen / T. Zink : Modulprobleme in der algebraischen Geometrie I, Beiträge zur Algebra und Geometrie 4 (1975), 93-150;
  9. H.J. Fitzner /W. Kleinert / H. Kurke /G. Pfister/ M. Roczen / T. Zink : Modulprobleme in der algebraischen Geometrie II, Beiträge zur Algebra und Geometrie 5 (1975) 75-130;
  10. G. Pfister / M. Roczen: Algebraische ausgezeichnete Deformationen in der Ebene, Mathematische Nachrichten 72 (1976), 145-149
  11. G. Pfister: Transzendente Zahlen, Wissenschaft und Fortschritt 25/1976
  12. G. Pfister / M. Roczen: Zum Satz von Weierstrass-Grauert für algebraische Potenzreihen, Rev. Roum. Math. XXI (9), 1976, 1261-1267
  13. G. Pfister / M. Roczen: Ein Vorbereitungssatz für Ideale in algebraischen Potenzriehen, Bull. Acad. Polonaise XXIV (5) 1976, 315-318
  14. G. Pfister: On the property of approximation of two-dimensional local rings, Bull. Math. Roumanie 20 (68), 1976, 359-361
  15. G. Pfister: Schlechte henselsche Ringe, Bull. Acad. Polonaise XXV (11) 1977, 1083-1088
  16. H.J. Fitzner /W. Kleinert/ H. Kurke /G. Pfister/ M. Roczen / T. Zink : Modulprobleme in der algebraischen Geometrie III, Beiträge zur Algebra und Geometrie 7 (1978), 91-144
  17. G. Pfister /M. Roczen: Die Approximationseigenschaft von Primidealen, Bull. Acad. Polonaise XXVII (10) 1979, 771-778
  18. T. Mostowski / G. Pfister: Der Cohensche Eliminationssatz in positiver Charakteristik, Beiträge zur Algebra und Geometrie (8) 1979, 115-123
  19. G. Pfister /D. Popescu: On three dimensional local rings with the property of approximation, Rev. Roum. Math. XXVI (2) 1981, 301-307
  20. A. Brezuleanu /G. Pfister: Excellent henselian rings not containing their residue field, Rev. Roum. Math. XXVI (10) 1981, 1295-1298
  21. G. Pfister: Invariants of singularities and Newton polyhedron, Proceedings of the week of algebraic geometry Bucharest 1980, Teubner-Texte zur Mathematik 40 (1981), 123-138
  22. H. Kurke / G. Pfister: Weierstrass categories and the property of approximation, Mathematische Nachrichten 109 (1982), 249-279
  23. B. Martin / G. Pfister: Milnor Number of Complete Intersections and Newton Polygons, Math. Nachr. (1983) 159-177
  24. M. Estrada / G. Pfister: Anillos locales Henselianos y excelentes, Revista Ciencias Matematicas V (3) (1984), 35-42
  25. B. Martin / G. Pfister: Distinguished deformations of isolated singularities of plane curves, in Lecture Notes 1056 (1984),255-263
  26. G.-M. Greuel / B. Martin/ G. Pfister: Numerische Charakterisierung Quasihomogener Gorenstein-Kurven-Singularitäten, Math. Nachr. 124 (1985) 123-131
  27. O.A. Laudal / B. Martin / G. Pfister: Moduli of irreducible plane curve singularities with semigroup (a,b), Proc. Conference on Algebraic Geometry, Berlin 1985, Teubner-Texte zur Mathematik 92 (1986), 236-258
  28. O.A. Laudal / B. Martin / G. Pfister: Moduli of plane curve singularities with C*-action, Banach-Center publication series 20 (1987), 255-278
  29. B. Martin / G. Pfister: The moduli of irreducible curve singularities with the semigroup <5,11>, Rev. Roumaine (1988) XXXIII (4) 359-368
  30. B. Martin / G. Pfister:The kernel of the Kodaira-Spencer map of the versal µ-constant deformation of an irreducible plane curve singularity with C*-action, J. Symbolic Computation (1989) 7, 527-531
  31. G. Pfister / Schönemann:Singularities with exact Poincaré complex but not quasihomogeneous, Revista Mathematica Madrid (2) 2y3 (1989), 161-171
  32. B. Martin / G. Pfister: Singularities of moduli spaces, Lecture Notes Comp. Sc. 376 (1989) 311-312
  33. I. Luengo /G. Pfister: Normal forms and moduli spaces of curve singualrities with semigroup <2p, 2q, 2pq+d>, Compositio Math. 76, 247-264 (1990)
  34. G. Pfister: The tangent cone algorithm and some applications to algebraic geometry, Proceedings of the MEGA-conference 1990, Birkhäuser Vol. 94 (1991)
  35. S. Aouira / G. Pfister: Weakly quasihomogeneous hypersurface singularities in positive characteristic, Math. Z. 208, 645-666 (1991)
  36. G. Pfister / J.H.M. Steenbrink:Reduced Hilbert scheme for irreducible curve singularities, Journal of Pure and Applied Algebra 77 (1992) 103-116
  37. T. Mora / G. Pfister / C. Traverso:An Introduction to the tangent cone algorithm, Advances in computing research, issued in Robotics and nonlinear geometry (6), 199-270 (1992)
  38. G.-M. Greuel /G. Pfister: Geometric quotients of unipotent group actions, Proc. London Math. Soc. (3), 67 (1993), 75-105
  39. G.-M. Greuel / G. Pfister: Moduli spaces for torsion free modules on curve singularities I, J. Algebraic Geometry 2 (1993) 81-135.
  40. G.-M. Greuel / G. Pfister: Moduli for Singularities, Lecture Notes of London Math. Soc. 201 (1994), 119-146
  41. H. Grassmann / G.-M. Greuel / B. Martin / W. Neumann / G. Pfister / W. Pohl / H. Schönemann / T. Siebert: Standard bases, syzygies and their implementation in SINGULAR. In: Beiträge zur angewandten Analysis und Informatik. Shaker, Aachen (1994),69-96.
  42. G.-M. Greuel / G. Pfister: On moduli spaces of semiquasihomogeneous singularities. In Progress in Mathematics, Vol. 134, Birkhäuser 1996, 171-185.
  43. G. Pfister / D. Popescu: Deformations of maximal Cohen-Macaulay modules. Math. Z. (223) 1996, 309-332.
  44. H. Grassmann / G.-M. Greuel / B. Martin / W. Neumann / G. Pfister / W. Pohl / H. Schönemann / T. Siebert: On an implementation of standard bases and syzygies in SINGULAR. AAECC (7) 1996, 235-249.
  45. G.-M. Greuel / G. Pfister: Advances and improvements in the theory of standard bases. Arch. d. Math. (66) 1996, 163-176.
  46. Greuel, G.-M. / C. Hertling / G. Pfister: Moduli spaces of semiquasihomogeneous singularities with fixed principal part. J. of Alg. Geom. (6) 1997, 169-199.
  47. F. Enescu / G. Pfister / D. Popescu: Infinitesimal module deformations in the Thom-Sebastiani-Problem, Arch. Math. (69) 1997, 196-208
  48. B. Martin / G. Pfister / D. Popescu: Maximal Cohen-Macaulay modules over rings of type xt+y3, Rev. Roumaine Math. Pures Appl. (42) 1997, 7--8, 591--619
  49. G.-M. Greuel / G. Pfister / H. Schönemann: Singular - A Computer Algebra System for Singularity Theory, Algebraic Geometry and Commutative Algebra, Computer Science Journal of Moldova, vol. 5, no.1(13) 1997, 3--9
  50. G.-M. Greuel / G. Pfister / H. Schönemann: Singular, A System for Polynomial Computations, version 1.2, User Manual . In: Reports On Computer Algebra, number 21. Centre for Computer Algebra, University of Kaiserslautern, June 1998
  51. G.-M. Greuel /G. Pfister: Geometric quotients of unipotent group actions II. In: Singularities, The Brieskorn Anniversary Volume, 27-36, Birkhäuser 1998.
  52. W. Decker / G.-M. Greuel / G. Pfister: Primary decomposition: algorithms and comparisons.In: Greuel, G.-M.; Matzat,B. H.; Hiß, G. (Eds.), Algorithmic Algebra and Number Theory, Springer Verlag, Heidelberg, (1998) 187-220.
  53. G.-M. Greuel / G. Pfister: Gröbner bases and algebraic geometry. In: B. Buchberger and F. Winkler (ed.): Gröbner Bases and Applications. LNS 251. CUP 1998, 109-143.
  54. W. Decker / G.-M. Greuel /T. De Jong/ G. Pfister: The normalisation: a new algorithm, implementation and comparisons. In: Proc. EUROCONFERENCE Computational Methods for Representations of Groups and Algebras (1.4.-5.4.1997), Progress in Mathematics, Vol. 173 Birkhäuser 1999, 177-185.
  55. G. Pfister / D. Popescu: A Family of Cohen--Macaulay Modules over Singularities of Type xt+y3, Communications in Algebra, (27,6) 1999, 2555--2572
  56. V. Ene / G. Pfister / D. Popescu: Betti Numbers for p-stable Ideals, Communications in Algebra (28,3) 2000, 1515--1531
  57. T. De Jong / G. Pfister: On Grauert's Approximation Theorem, Sitzungsberichte der Berliner Mathematischen Gesellschaft 1997-2000,53-64
  58. G.-M. Greuel / G. Pfister / H. Schönemann: Singular - A Computer Algebra System for Polynomial Computations. In: Symbolic Computation and Automated Reasoning, The Calculemus-2000 Symposium (Ed. Manfred Kerber and Michael Kohlhase), 2001, 227-233
  59. R. Laza / G. Pfister / D. Popescu: Maximal Cohen-Macaulay modules over the cone of an elliptic curve, Journal of Algebra 253 (2002), 209-236
  60. G.-M.Greuel / G. Pfister : Computer Algebra And Finite Groups, In Proceedings of the ICMS, Beijing 2002, 4-14.
  61. G. Pfister : A Problem in Group Theory Solved by Computer Algebra, In Proceedings of the Conference Commutative Algebra, Singularities and Computer Algebra, Sinaia 2002, Kluwer Academic Publishers 2003, 217-223.
  62. T. Bandman /G.-M.Greuel / F. Grunewald / B. Kunyavskii /G. Pfister / E. Plotkin: Identités en deux variables pour le groupes résolubles finis, C.R., Math., Acad. Sci. Paris 337 (9)(2003), 581-586.
  63. V. Levandovskyy/G. Pfister: An Introduction to the Commutative and Non-commutative Computer Algebra: Gröbner bases as a Tool for Homological Algebra. Lecture Notes of the Advanced School and Conference on Non-Commutative Geometry, ICTP August 2004
  64. A.Frühbis-Krüger / G.Pfister: Practical Aspects of Resolution of Singularities, Reports on Computer Algebra (ZCA Kaiserslautern, Germany) 2004
  65. C. Baciu / V. Ene / G. Pfister / D. Popescu: Rank two Cohen-Macaulay modules over singularities of type x1^3+x2^3+x3^3+x4^3, Journal of Algebra 292 (2005),447-491
  66. A.Frühbis-Krüger / G.Pfister: Some Applications of Resolution of Singularities from a Practical Point of View, Proceedings of the Conference Computational Commutative and Non-commutative Algebraic Geometry, Chisinau 2004, NATO Science Series III, Computer and Systems Sciences 196 (2005),104-117
  67. A.Frühbis-Krüger / G.Pfister: Auflösung von Singularitäten, DMV-Mitteilungen 13-2 (2005),89-105
  68. A.Frühbis-Krüger / G.Pfister: Algorithmic Resolution of Singularities, In: C. Lossen, G. Pfister: Singularities and Computer Algebra. LMS Lecture Notes 324, Cambridge University Press 157-184 (2006)
  69. C. Lossen/ G. Pfister: Aspects of Gert-Martin Greuel's Mathematical Work. In: C. Lossen, G. Pfister: Singularities and Computer Algebra. LMS Lecture Notes 324, Cambridge University Press (2006), xvii-xxxvi
  70. T. Bandman /G.-M.Greuel / F. Grunewald / B. Kunyavskii /G. Pfister / E. Plotkin: Identities for finite solvable groups and equations in finite simple groups, Compositio Math. 142 (2006), no.3, 734-764.
  71. G.-M. Greuel / G.Pfister: SINGULAR and Applications,Jahresbericht der DMV 108 (4),167-196 (2006)
  72. G.Pfister: On Modular Computation of Standard Basis, Analele Stiintifice ale Univ. Ovidius, Mathematical Series XV (1),129-137(2007)
  73. Greuel, G.M. / Pfister, G. / Schönemann, H.: SINGULAR: a computer algebra system for polynomial computations, ACM Commun. Comput. Algebra 42, No. 3, 180-181 (2008).
  74. G.Pfister: Computing in Commutative Algebra: in Combinatorial and Computational Aspects of Commutative Algebra, Publications du CIMPA, Lahore (2009)
  75. N.Idrees/ G.Pfister/ S. Steidel: Parallelization of Modular Algorithms, Journal of Symbolic Computation 46(2011) 672-684
  76. G.Pfister/ A. Sadiq/ S. Steidel: An Algorithm for Primary Decomposition in Polynomial Rings over the Integers, Cent. Eur. J. Math., 9(4) 2011, 897-904
  77. M.A. Banyamin/ G. Pfister/ S. Steidel: About the Computation of the Signature of Surface Singularities z^N+g(x,y)=0, Cent. Eur. J. Math., 10(1) 2012, 271-276
  78. V. Levandovskyy/ G. Pfister/ V.G. Romanovski: Evaluating Cyclicity of Cubic Systems with Algorithms of Computational Algebra, Communications on Pure and Applied Analysis 11 (5) 2023-2035 (2012)
  79. J. Böhm/ W. Decker/ S. Laplagne/ G. Pfister/ A. Steenpaß/ S. Steidel: Parallel Algorithms for Normalization,Journal of Symbolic Computation 51, 99-114 (2013)
  80. S. Al-Rashed/ G. Pfister: Numerical Decomposition of Affine Algebraic Varieties,Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol. 22(2), 193-215 (2014)
  81. D. Afzal/ F. Kanwal Janjua/ G. Pfister/ S. Steidel: Solving via Modular Methods,in Bridging Algebra, Geometry, and Topology,Springer Proceedings in Mathematics & Statistics Volume 96,1-9 (2014)
  82. F. Kanwal Janjua/ G. Pfister: A Classifier for Simple Space Curve Singularities, Studia Scientiarum Mathematicarum Hungarica 51(1), 92-104 (2014)
  83. D.J. Bates/ W. Decker/ J.D. Hauenstein/ C. Peterson/ G. Pfister/ F.-O. Schreyer/ A.J. Sommese/ C.W. Wampler: Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety, Applied Mathematics and Computation 231, 619-633 (2014)
  84. D. Afzal/ G. Pfister: A Classifier for Simple Isolated Complete Intersection Singularities, Studia Scientiarum Mathematicarum Hungarica 52(1),1-11 (2015)
  85. N. Idrees/ G. Pfister/ A. Sadiq: An Algorithm to Compute a Primary Decomposition of Modules in Polynomial Rings over the Integers, Studia Scientiarum Mathematicarum Hungarica 52(1),40-51 (2015)
  86. J. Böhm/ W. Decker/ C. Fieker/ G. Pfister: The Use of bad Primes in rational Reconstruction, Math. Comp. 84 (2015), 3013-3027
  87. D. Afzal/ G. Pfister: A Classifier for Unimodular Isolated Complete Intersection Space Curve Singularities, An. St. Univ. Ovidius Constanta 24(1),95-119 (2016)
  88. J. Böhm/ W. Decker/ S. Laplagne/ G. Pfister: Local to global Algorithms for the Gorenstein Adjoint Ideal of a Curve, arXiv:1505.05040, to appear (2017)
  89. G. Pfister / D. Popescu: Constructive General Neron Desingularization for one Dimensional Local Rings, Journal of Symbolic Computation 80(2017),570-580
  90. D. Afzal / S. Mubarak / G. Pfister / A. Yaqub: Unimodular ICIS, a Classifier, to appear in Studia Scientiarum Mathematicarum Hungarica (2017)
  91. J. Böhm / M. Marais / G. Pfister:A Classification Algorithm for Complex Singularities of Corank and Modality up to Two, Singularities and Computer Algebra - Festschrift for Gert-Martin Greuel On the Occasion of his 70th Birthday, Springer 2017, 21-46
  92. J. Böhm / W. Decker / C. Fieker / S. Laplagne / G. Pfister: Bad Primes in Computational Algebraic Geometry,Proceedings of ICMS 2016 Volume 9725 of Lecture Notes in Computer Science (LNCS),93-101 (2016)
  93. C. Eder / G. Pfister / A. Popescu : New Strategies for Standard Bases over Z. to appear (2017)
  94. D. Afzal / S. Kanwal / G. Pfister: Tangent Space at the Orbit of an Algebraic Group Action, to appear in Bull. Math. Soc. Sci. Math. Roumanie (2017)
  95. K. Mehmood / G. Pfister: Unimodal Singularities of Parametrized Plane Curves, to appear (2017)
  96. G. Pfister / D. Popescu: Construction of Neron Desingularization for Two Dimensional Rings, arXiv:1612.01827v1
  97. C. Eder / G. Pfister / A. Popescu : On Signature-based Gröbner Bases over Euclidean Rings. to appear Proceedings ISSAC 2017
  98. A. Khalid / G. Pfister / D. Popescu: An Uniform General Neron Desingularization in Dimension One, to appear in Journal of Algebra and Its Applications arXiv:1612.03416v1
  99. S. Kanwal / G. Pfister: Standard Bases with Special Generators of the Leading Ideal, to appear (2017)
  100. Z. Kosar / G. Pfister / D. Popescu: Constructive Neron Desingularization of Algebras with Big Smooth Locus,to appear in Communications in Algebra, arXiv:1702.01867v1
  101. K. Mehmood / G. Pfister: Simple Singularities of Parametrized Plane Curves in Positive Characteristic , to appear (2017)
  102. J. Böhm/ W. Decker/ S. Laplagne/ G. Pfister: Computing Integral Bases via Localization and Hensel Lifting, arXiv:1505.05054, to appear (2017)

Translations

  1. Kaluzhnin, L.A. Primzahlzerlegung. Übersetzung aus dem Russischen von G. Pfister und L. Boll. (Kleine Ergänzungsreihe zu den Hochschulbüchern für Mathematik. XXIII.) Berlin: VEB Deutscher Verlag der Wissenschaften (1971).
  2. Dieudonné, J. Grundzüge der modernen Analysis. Band 4. Übersetzung aus dem Französischen von Herbert Kurke, Gerhard Pfister und Marko Roczen. VEB Deutscher Verlag der Wissenschaften, Berlin, 1976.
  3. Dieudonné, J. Grundzüge der modernen Analysis. Band 4. Übersetzung aus dem Französischen von Herbert Kurke, Gerhard Pfister und Marko Roczen. Logik und Grundlagen der Mathematik. Band 19. Braunschweig: Friedr. Vieweg & Sohn (1976).
  4. Smirnov, V.I. Lehrgang der höheren Mathematik. Teil III/1. 9. Aufl. Übersetzung nach der 5. Aufl. aus dem Russischen unter Anleitg. v. L. Kaluzhnin. Überarb. nach d. 9. ber. russ. Aufl. 1967 v. G. Pfister. Hochschulbücher für Mathematik, Bd. 3. Berlin: VEB Deutscher Verlag der Wissenschaften (1979).
  5. Gnedenko, B. W.; Chintschin, A. J. Elementare Einführung in die Wahrscheinlichkeitsrechnung. Translated from the Russian by Karl-Heinz Rupp, Gerhard Pfister and Ludwig Boll. Kleine Ergänzungsreihe zu den Hochschulbüchern für Mathematik, VIII. VEB Deutscher Verlag der Wissenschaften, Berlin, 1983.
Univ. of KaiserslauternDept. of MathematicsWG Algebra & GeometryCAS SINGULAR KIS