Degree Bounds for Syzygies of Invariants
نویسنده
چکیده
Suppose that G is a linearly reductive group. Good degree bounds for generators of invariant rings were given in [2]. Here we study the minimal free resolution of the invariant ring. Recently it was shown that if G is a finite linearly reductive group, then the ring of invariants is generated in degree ≤ |G| (see [5, 6, 3]). This extends the classical result of Noether who proved the bound in characteristic 0 (see [9]). We will prove that for a finite linearly reductive group G, the ideal of relations of a minimal set of generators of the invariant ring is generated in degree ≤ 2|G|.
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