English

1-rational singularities and quotients by reductive groups

Algebraic Geometry 2009-01-23 v1 Representation Theory

Abstract

We prove that good quotients of algebraic varieties with 1-rational singularities also have 1-rational singularities. This refines a result of Boutot on rational singularities of good quotients.

Keywords

Cite

@article{arxiv.0901.3539,
  title  = {1-rational singularities and quotients by reductive groups},
  author = {Daniel Greb},
  journal= {arXiv preprint arXiv:0901.3539},
  year   = {2009}
}

Comments

8 pages; revised version of a chapter of the author's thesis

R2 v1 2026-06-21T12:03:44.227Z