Publications of Gregor Kemper

1. The Cohen-Macaulay Property and Depth in Invariant Theory, in: Proceedings of the 33rd Symposium on Commutative Algebra in Japan , 2012, 53-63.

2. The Transcendence Degree over a Ring, preprint 2011, arXiv:1109.1391v1 .

3. Algorithmic Invariant Theory of Nonreductive Groups (with Tobias Kamke), Qualitative Theory of Dynamical Systems 11 (2012), 79-110.

4. Some complete intersection symplectic quotients in positive characteristic: invariants of a vector and a covector (with Cédric Bonnafé), J. Algebra 335 (2011), 96-112.

5. A Course in Commutative Algebra , Graduate Texts in Mathematics 256 , Springer-Verlag, Berlin, Heidelberg 2011, 246 pages.

6. Separating Invariants, J. Symbolic Computation 44 (2009), 1212-1222.

7. Polarization of Separating Invariants (with Jan Draisma and David Wehlau), Canad. J. Math. 60 (2008), 556-571. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

8. Computing invariants of algebraic group actions in arbitrary characteristic (with Harm Derksen), Adv. Math. 217 (2008), 2089-2129. [ pdf , ps , or dvi ]

9. Lossless Representation of Graphs using Distributions (with Mireille Boutin), preprint 2007, submitted. [ pdf , ps , or dvi ]

10. Morphisms and Constructible Sets: Making Two Theorems of Chevalley Constructive, preprint 2007. [ pdf , ps , or dvi ]

11. The Computation of Invariant Fields and a Constructive Version of a Theorem by Rosenlicht, Transformation Groups 12 (2007), 657-670. [ pdf , pdf.gz , ps , or ps.gz ]

12. Which Point Configurations are Determined by the Distribution of their Pairwise Distances? (with Mireille Boutin), Internat. J. Comput. Geom. Appl. 17 (2007), 31-43. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

13. Homomorphisms, localizations and a new algorithm to construct invariant rings of finite groups (with Peter Fleischmann and Chris Woodcock), J. Algebra 309 (2007), 497-517. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

14. Depth and Cohomological Connectivity in Modular Invariant Theory (with Peter Fleischmann and R. James Shank), Trans. Amer. Math. Soc. 357 (2005), 3605-3621. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

15. On Reconstructing Configurations of Points in P^2 from a Joint Distribution of Invariants (with Mireille Boutin), Appl. Algebra Engrg. Comm. Comput. 15 (2005), 361-391. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

16. Global degree bounds and the transfer principle for invariants (with Roger M. Bryant), J. Algebra 284 (2005), 80-90. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

17. On Global Degree Bounds for Invariants (with Harm Derksen), in: Invariant Theory in All Characteristics, CRM Proc. Lecture Notes 35 , Amer. Math. Soc., Providence, RI 2004, 37-41. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

18. On Reconstructing n-Point Configurations from the Distribution of Distances or Areas (with Mireille Boutin), Adv. Applied Math. 32 (2004), 709-735. [ pdf , pdf.gz , ps , or ps.gz ]

19. On the Depth of Cohomology Modules (with Peter Fleischmann and R. James Shank), Quarterly Journal of Mathematics 55 (2004), 167-184. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

20. On the Branch Locus of Quotients by Finite Groups and the Depth of the Algebra of Invariants (with Nikolai Gordeev), J. Algebra 268 (2003), 22-38. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

21. Computing Invariants of Reductive Groups in Positive Characteristic, Transformation Groups 8 (2003), 159-176. [ ps or ps.gz ]

22. The Calculation of Radical Ideals in Positive Characteristic, J. Symbolic Computation 23 (2002), 229-238. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

23. Computational Invariant Theory (with Harm Derksen), Encyclopaedia of Mathematical Sciences 130 , Springer-Verlag, Berlin, Heidelberg, New York 2002, 268 pages.

24. Loci in Quotients by Finite Groups, Pointwise Stabilizers and the Buchsbaum Property, J. reine angew. Math. 547 (2002), 69-96. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

25. The Depth of Invariant Rings and Cohomology (with an appendix by Kay Magaard), J. of Algebra 245 (2001), 463-531. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

26. A Database of Invariant Rings (with Elmar Körding, Gunter Malle, B. Heinrich Matzat, Denis Vogel, Gabor Wiese), Experimental Mathematics 10 (2001), 537-542. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

27. Generic Polynomials are Descent-Generic, Manuscripta Math. 105 (2001), 139-141. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

28. Symmetric Powers of Modular Representations for Groups with a Sylow Subgroup of Prime Order (with Ian Hughes), J. of Algebra 241 (2001), 759-788. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

29. Matrix Generators for the Ree Groups ^2G_2(q) (with Frank Lübeck, Kay Magaard), Comm. in Algebra 29 (2001), 407-413. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

30. Invariants of Hopf Algebras, The Curves Seminar at Queen's, Volume XIII, in: Queen's Papers in Pure and Applied Math. 119 (2000), 37-61. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

31. Generic Polynomials with few Parameters (with Elena Mattig), J. Symb. Comput. 30 (2000), 843-857. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

32. A Characterization of Linearly Reductive Groups by their Invariants, Transformation Groups 5 (2000), 85-92. [ ps , ps.gz ]

33. Depth of Modular Invariant Rings (with H. E. A. Campbell, I. P. Hughes, R. J. Shank, D. L. Wehlau), Transformation Groups 5 (2000), 21-34. [ ps , ps.gz ]

34. Symmetric Powers of Modular Representations, Hilbert Series and Degree Bounds (with Ian Hughes), Comm. in Algebra 28 (2000), 2059-2088.

35. Invariant Fields of Finite Irreducible Reflection Groups (with Gunter Malle), Math. Ann. 315 (1999), 569-586. [ ps , ps.gz ]

36. Die Cohen-Macaulay-Eigenschaft in der modularen Invariantentheorie, Habilitationsschrift, Universität Heidelberg, 1999. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

37. On the Cohen-Macaulay Property of Modular Invariant Rings, J. of Algebra 215 (1999), 330-351. [ ps , ps.gz ]

38. Some Algorithms in Invariant Theory of Finite Groups (with Allan Steel), in: P. Dräxler, G.O. Michler, C. M. Ringel, eds, Computational Methods for Representations of Groups and Algebras, Euroconference in Essen, April 1-5 1997, number 173 in Progress in Mathematics, Birkhäuser, Basel, 1999. [ ps , ps.gz ]

39. Invariant rings and fields of finite groups (with Gunter Malle), in: B. Heinrich Matzat, Gert-Martin Greuel, Gerhard Hiss, eds, Algorithmic Algebra and Number Theory, Springer-Verlag, Heidelberg, 1999.

40. Hilbert Series and Degree Bounds in Invariant Theory, in: B. Heinrich Matzat, Gert-Martin Greuel, Gerhard Hiss, eds, Algorithmic Algebra and Number Theory, Springer-Verlag, Heidelberg, 1999.

41. An Algorithm to Calculate Optimal Homogeneous Systems of Parameters, J. Symbolic Computation 27 (1999), 171-184.

42. Computational Invariant Theory, The Curves Seminar at Queen's, Volume XII, in: Queen's Papers in Pure and Applied Math. 114 (1998), 3-26. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

43. Lower Degree Bounds for Modular Invariants and a Question of I. Hughes, Transformation Groups 3 (1998), 135-144.

44. The Finite Irreducible Linear Groups with Polynomial Ring of Invariants (with Gunter Malle), Transformation Groups 2 (1997), 57-89. [ ps , ps.gz ]

45. Calculating Invariant Rings of Finite Groups over Arbitrary Fields, J. Symbolic Computation 21 (1996), 351-366.

46. A Constructive Approach to Noether's Problem, Manuscripta Math. 90 (1996), 343-363.

47. Das Noethersche Problem und generische Polynome, Dissertation, Universität Heidelberg, 1994, also available as: Preprint 94-49, IWR, Heidelberg, 1994. [ ps , ps.gz ]

48. An Algorithm to Determine Properties of Field Extensions Lying over a Ground Field, Preprint 93-58, IWR, Heidelberg, 1993. [ ps , ps.gz ]

49. The Invar Package for Calculating Rings of Invariants, Preprint 93-34, IWR, Heidelberg, 1993. [ ps , ps.gz ]