Torsors over Luna strata
Algebraic Geometry
2013-07-18 v2
Abstract
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.
Cite
@article{arxiv.1104.5581,
title = {Torsors over Luna strata},
author = {Ivan V. Arzhantsev},
journal= {arXiv preprint arXiv:1104.5581},
year = {2013}
}
Comments
11 pages, minor corrections