Degree Bounds for Syzygies of Invariants

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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|.
7 pages, minor changes

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Commutative Algebra, Algebraic Geometry, Combinatorics, 13A50, 13D02

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http://salesiana.dossiersoluciones.com/handle/123456789/64083

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205174
 http://arxiv.org/abs/math/0205174

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arXiv