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

  6. second edition 2007

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

  8. S. Cojocaru/ G. Pfister/ V. Ufnarovski (Eds.):Computational Commutative and Non-commutative Algebraic Geometry, NATO Science Series III, Computer and Systems Sciences 196 (2005)
  9. C. Lossen/ G. Pfister (Eds.): Singularities and Computer Algebra. LMS Lecture Notes 324 , Cambridge University Press (2006)
  10. B. Kreußler/ G. Pfister: Mathematik für Informatiker, Springer 2009
  11. W. Decker/ G. Pfister: A First Course in Computational Algebraic Geometry, to appear 2012

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: 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: Excellent henselian local rings, Cienc. Math. (Havanna) 5 (1984), (3) 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. 2. 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:Two-variable identities for finite solvable groups, COMPTES RENDUS DE L'ACADEMIE DES SCIENCES, Ser. I337(2003)581-586.
  63. 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
  64. 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
  65. A.Frühbis-Krüger / G.Pfister: Practical Aspects of Resolution of Singularities, Reports on Computer Algebra (ZCA Kaiserslautern, Germany) 2004
  66. A.Frühbis-Krüger / G.Pfister: Auflösung von Singularitäten, DMV-Mitteilungen 13-2 (2005),89-105
  67. 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)
  68. 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
  69. T. Bandman /G.-M.Greuel / F. Grunewald / B. Kunyavskii /G. Pfister / E. Plotkin: Engel-Like Identities Characterizing Finite Solvable Groups, Compositio Math. 142 (2006), no.3, 734-764.
  70. G.-M. Greuel / G.Pfister: SINGULAR and Applications,Jahresbericht der DMV 108 (4),167-196 (2006)
  71. G.Pfister: On Modular Computation of Standard Basis, Analele Stiintifice ale Univ. Ovidius, Mathematical Series XV (1),129-137(2007)
  72. G.Pfister: Computing in Commutative Algebra: in Combinatorial and Computational Aspects of Commutative Algebra, Publications du CIMPA, Lahore (2009)
  73. N.Idrees/ G.Pfister/ S. Steidel: Parallelization of Modular Algorithms, Journal of Symbolic Computation 46(2011) 672-684
  74. 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
  75. 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
  76. S. Al-Rashed/ G. Pfister: Numerical Decomposition of Affine Algebraic Varieties,Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol. XX, fasc. 3, 2012
  77. V. Levandovskyy/ G. Pfister/ V.G. Romanovski: Evaluating Cyclicity of Cubic Systems with Algorithms of Computational Algebra, to appear in CPAA September 2012
  78. J. Böhm/ W. Decker/ S. Laplagne/ G. Pfister/ A. Steenpaß/ S. Steidel: Parallel Algorithms for Normalization, to appear in JSC (2012)
  79. D. Afzal/ J. Eröcal/ F. Kanwal/ G. Pfister/ S. Steidel: Solving via Modular Methods, to appear (2012)
  80. G. Pfister/ S. Steidel: Lecture Notes in Local Analytic Geometry, Publications du CIMPA, Lahore (2012)
  81. J. Böhm/ W. Decker/ C. Fieker/ G. Pfister: The Use of bad Primes in rational Reconstruction, to appear (2012)
Univ. of Kaiserslautern • Dept. of Mathematics • WG Algebra & Geometry • CAS SINGULAR • KIS