Degree Bounds for Syzygies of Invariants
Commutative Algebra
2007-05-23 v2 Algebraic Geometry
Combinatorics
Abstract
Suppose that G is a linearly reductive group. We study the minimal free resolution of the invariant ring. If G is a finite linearly reductive group, then the ring of invariants is generated in degree at most |G|, the group order. We prove that the ideal of relations of a minimal set of generators of the invariant ring is generated in degree at most 2|G|.
Cite
@article{arxiv.math/0205174,
title = {Degree Bounds for Syzygies of Invariants},
author = {Harm Derksen},
journal= {arXiv preprint arXiv:math/0205174},
year = {2007}
}
Comments
7 pages, minor changes