Divisorial contractions to codimension three orbits

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

Bibliographic Details
Main Authors: Samuel Boissière, Enrica Floris
Format: Article
Language:English
Published: Association Epiga 2021-07-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/7020/pdf