## Samuel Boissière ; Enrica Floris - Divisorial contractions to codimension three orbits

epiga:7020 - Épijournal de Géométrie Algébrique, July 12, 2021, Volume 5 - https://doi.org/10.46298/epiga.2021.7020
Divisorial contractions to codimension three orbits

Authors: Samuel Boissière ; Enrica Floris

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.

Volume: Volume 5
Published on: July 12, 2021
Accepted on: July 12, 2021
Submitted on: December 23, 2020
Keywords: Mathematics - Algebraic Geometry,14E05, 14E30