The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913660234891264 |
|---|---|
| author | Mattei, Dominique |
| author_facet | Mattei, Dominique |
| contents | We give a description of the intermediate Jacobian fibration attached to a general complex cubic fourfold $X$ containing a plane as a Lagrangian subfibration of a moduli space of torsion sheaves on the K3 surface associated to $X$ up to a cover. To do so, we propose a general construction of Lagrangian fibrations in Prym varieties as subfibrations of Beauville-Mukai systems over some loci of nodal curves in linear systems on K3 surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_00350 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties Mattei, Dominique Algebraic Geometry 14H40, 14H70, 53D30, 14C20, 14J28 We give a description of the intermediate Jacobian fibration attached to a general complex cubic fourfold $X$ containing a plane as a Lagrangian subfibration of a moduli space of torsion sheaves on the K3 surface associated to $X$ up to a cover. To do so, we propose a general construction of Lagrangian fibrations in Prym varieties as subfibrations of Beauville-Mukai systems over some loci of nodal curves in linear systems on K3 surfaces. |
| title | The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties |
| topic | Algebraic Geometry 14H40, 14H70, 53D30, 14C20, 14J28 |
| url | https://arxiv.org/abs/2302.00350 |