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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Association Epiga
2021-07-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/7020/pdf |
| _version_ | 1811238222710177792 |
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| author | Samuel Boissière Enrica Floris |
| author_facet | Samuel Boissière Enrica Floris |
| author_sort | Samuel Boissière |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T12:38:01Z |
| format | Article |
| id | doaj.art-05e9e67b08c047c48cf9188334a3e04f |
| institution | Directory Open Access Journal |
| issn | 2491-6765 |
| language | English |
| last_indexed | 2024-04-12T12:38:01Z |
| publishDate | 2021-07-01 |
| publisher | Association Epiga |
| record_format | Article |
| series | Épijournal de Géométrie Algébrique |
| spelling | doaj.art-05e9e67b08c047c48cf9188334a3e04f2022-12-22T03:32:51ZengAssociation EpigaÉpijournal de Géométrie Algébrique2491-67652021-07-01Volume 510.46298/epiga.2021.70207020Divisorial contractions to codimension three orbitsSamuel BoissièreEnrica FlorisLet $G$ 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.https://epiga.episciences.org/7020/pdfmathematics - algebraic geometry14e05, 14e30 |
| spellingShingle | Samuel Boissière Enrica Floris Divisorial contractions to codimension three orbits Épijournal de Géométrie Algébrique mathematics - algebraic geometry 14e05, 14e30 |
| title | Divisorial contractions to codimension three orbits |
| title_full | Divisorial contractions to codimension three orbits |
| title_fullStr | Divisorial contractions to codimension three orbits |
| title_full_unstemmed | Divisorial contractions to codimension three orbits |
| title_short | Divisorial contractions to codimension three orbits |
| title_sort | divisorial contractions to codimension three orbits |
| topic | mathematics - algebraic geometry 14e05, 14e30 |
| url | https://epiga.episciences.org/7020/pdf |
| work_keys_str_mv | AT samuelboissiere divisorialcontractionstocodimensionthreeorbits AT enricafloris divisorialcontractionstocodimensionthreeorbits |