Journal article
Galois structure of homogeneous coordinate rings
Transactions of the American Mathematical Society, Vol.360(12), pp.6269-6301
12/2008
DOI: 10.1090/S0002-9947-08-04436-X
Abstract
Suppose G is a finite group acting on a projective scheme X over a commutative Noetherian ring R. We study the RG-modules H0(X, F⊗Ln) when n ≥ 0, and F and L are coherent G-sheaves on X such that L is an ample line bundle. We show that the classes of these modules in the Grothendieck group G0(RG) of all finitely generated RG-modules lie in a finitely generated subgroup. Under various hypotheses, we show that there is a finite set of indecomposable RG-modules such that each H0(X, F⊗Ln) is a direct sum of these indecomposables, with multiplicities given by generalized Hilbert polynomials for n >> 0
Details
- Title: Subtitle
- Galois structure of homogeneous coordinate rings
- Creators
- Frauke M. Bleher - University of Iowa, MathematicsTed Chinburg - University of Pennsylvania
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.360(12), pp.6269-6301
- DOI
- 10.1090/S0002-9947-08-04436-X
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Publisher
- American Mathematical Society
- Number of pages
- 33
- Language
- English
- Date published
- 12/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9983985952802771
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