Quadrics on Gushel-Mukai varieties
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917769834921984 |
|---|---|
| author | Debarre, Olivier Kuznetsov, Alexander |
| author_facet | Debarre, Olivier Kuznetsov, Alexander |
| contents | We study Hilbert schemes of quadrics of dimension $k \in \{0,1,2,3\}$ on smooth Gushel-Mukai varieties $X$ of dimension $n \in \{2,3,4,5,6\}$ by relating them to the relative Hilbert schemes of linear subspaces of dimension $k + 1$ of a certain family, naturally associated with $X$, of quadrics of dimension $n - 1$ over the blowup of $\mathbf{P}^5$ at a point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quadrics on Gushel-Mukai varieties Debarre, Olivier Kuznetsov, Alexander Algebraic Geometry We study Hilbert schemes of quadrics of dimension $k \in \{0,1,2,3\}$ on smooth Gushel-Mukai varieties $X$ of dimension $n \in \{2,3,4,5,6\}$ by relating them to the relative Hilbert schemes of linear subspaces of dimension $k + 1$ of a certain family, naturally associated with $X$, of quadrics of dimension $n - 1$ over the blowup of $\mathbf{P}^5$ at a point. |
| title | Quadrics on Gushel-Mukai varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2409.03528 |