Torsors over Luna strata

Details Torsors over Luna strata Torsors over Luna strata

2011-04-29

arxiv.org/abs/1104.5581v2

Mathematics

Algebraic Geometry

11 pages, minor corrections

Scientific paper

Let G be a reductive group and X be a Luna stratum on the quotient space V//G of a rational G-module V. We consider torsors over X with both non-commutative and commutative structure groups. It allows us to compute the divisor class group and the Cox ring of a Luna stratum under mild assumptions. This techniques gives a simple cause why many Luna strata are singular along their boundary.

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