Divisorial contractions to codimension three orbits

Abstract

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.

22 pages, 2 figures

References in corpus (2)

• Divisorial contractions in dimension three which contract divisors to smooth points
• Fano-Mori contractions of high length on projective varieties with terminal singularities