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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.2021.7020Divisorial contractions to codimension three orbitsArticle
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.
Comment: 22 pages, 2 figures
Source: arXiv.org:2002.11016
Volume: Volume 5
Published on: July 12, 2021
Accepted on: July 12, 2021
Submitted on: December 23, 2020
Keywords: Mathematics - Algebraic Geometry, 14E05, 14E30
Funding:
- Source : OpenAIRE Graph
- Fibrations and algebraic group actions; Funder: French National Research Agency (ANR); Code: ANR-18-CE40-0003
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