English

Wonderful blowups associated to group actions

Algebraic Geometry 2007-05-23 v1

Abstract

A group action on a smooth variety provides it with the natural stratification by irreducible components of the fixed point sets of arbitrary subgroups. We show that the corresponding maximal wonderful blowup in the sense of MacPherson-Procesi has only abelian stabilizers. The result is inspired by the abelianization algorithm of Batyrev.

Keywords

Cite

@article{arxiv.math/0009051,
  title  = {Wonderful blowups associated to group actions},
  author = {Lev A. Borisov and Paul E. Gunnells},
  journal= {arXiv preprint arXiv:math/0009051},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T16:34:33.978Z