English

Divisorial contractions to codimension three orbits

Algebraic Geometry 2024-10-02 v3

Abstract

Let GG be a connected algebraic group. We study GG-equivariant extremal contractions whose centre is a codimension three GG-simply connected orbit. In the spirit of an important result by Kawakita in 2001, we prove that those contractions are weighted blow-ups.

Keywords

Cite

@article{arxiv.2002.11016,
  title  = {Divisorial contractions to codimension three orbits},
  author = {Samuel Boissière and Enrica Floris},
  journal= {arXiv preprint arXiv:2002.11016},
  year   = {2024}
}

Comments

22 pages, 2 figures

R2 v1 2026-06-23T13:53:27.347Z