Degree Bounds for Syzygies of Invariants

Details Degree Bounds for Syzygies of Invariants Degree Bounds for Syzygies of Invariants

2002-05-15

arxiv.org/abs/math/0205174v2

Mathematics

Commutative Algebra

7 pages, minor changes

Scientific paper

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|.

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