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Equivariant Total Ring of Fractions and Factoriality of Rings Generated by Semi-Invariants

Equivariant Total Ring of Fractions and Factoriality of Rings Generated by Semi-Invariants

Let F be an affine flat group scheme over a commutative ring R, and S an F-algebra (an R-algebra on which F acts). We define an equivariant analogue Q F (S) of the total ring of fractions Q(S) of S. It is the largest F-algebra T such that S ⊂ …