Publications of Gregor Kemper

1. On Reconstructing n-Point Configurations from the Distribution of Distances or Areas (with Mireille Boutin), preprint 2003, submitted. [ ps or ps.gz ]

2. On Global Degree Bounds for Invariants (with Harm Derksen), in: H. E. A. Campbell, D. L. Wehlau, eds, Invariant Theory, Kingston 2003, to appear. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

3. Computing Invariants of Reductive Groups in Positive Characteristic , Transformation Groups (2003), to appear. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

4. On the Branch Locus of Quotients by Finite Groups and the Depth of the Algebra of Invariants (with Nikolai Gordeev), J. Algebra (2003), to appear. [ pdf , pdf.gz , ps , ps.gz , or dvi ]

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

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

7. 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 ]

8. 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 ]

9. 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 ]

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

11. 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 ]

12. 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 ]

13. 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 ]

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

15. A Characterization of Linearly Reductive Groups by their Invariants, Transformation Groups 5 (2000), 85-92.

16. 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.

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

18. Invariant Fields of Finite Irreducible Reflection Groups (with Gunter Malle), Math. Ann. 315 (1999), 569-586.

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

20. On the Cohen-Macaulay Property of Modular Invariant Rings, J. of Algebra 215 (1999), 330-351.

21. 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.

22. 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.

23. 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.

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

25. 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 ]

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

27. The Finite Irreducible Linear Groups with Polynomial Ring of Invariants (with Gunter Malle), Transformation Groups 2 (1997), 57-89.

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

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

30. Das Noethersche Problem und generische Polynome, Dissertation, Universität Heidelberg, 1994, also available as: Preprint 94-49, IWR, Heidelberg, 1994.

31. An Algorithm to Determine Properties of Field Extensions Lying over a Ground Field, Preprint 93-58, IWR, Heidelberg, 1993.

32. The Invar Package for Calculating Rings of Invariants, Preprint 93-34, IWR, Heidelberg, 1993.