DMCA
Galois structure of homogeneous coordinate rings
Cached
Download Links
| Venue: | Trans. Amer. Math. Soc |
| Citations: | 2 - 0 self |
BibTeX
@ARTICLE{Bleher_galoisstructure,
author = {Frauke M. Bleher and Ted Chinburg},
title = {Galois structure of homogeneous coordinate rings},
journal = {Trans. Amer. Math. Soc},
year = {}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. Suppose G is a finite group acting on a projective scheme X over a commutative Noetherian ring R. We study the RG-modules H 0 (X, F ⊗ L n) 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 H 0 (X, F ⊗ L n) is a direct sum of these indecomposables, with multiplicites given by generalized Hilbert polynomials for n>> 0. 1.
