EPW sextics vs EPW cubes
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910314807689216 |
|---|---|
| author | Kapustka, Grzegorz Kapustka, Michal Mongardi, Giovanni |
| author_facet | Kapustka, Grzegorz Kapustka, Michal Mongardi, Giovanni |
| contents | We study a correspondence between double EPW cubes and double EPW sextics, two families of polarized hyper-Kähler manifolds related to Gushel--Mukai fourfolds. We infer relations between these families in terms of Hodge structures and moduli spaces of elliptic curves.
As an application, we prove that a very general double EPW cube is the moduli space of stable objects with respect to a suitable stability condition on the Kuznetsov component of its corresponding Gushel--Mukai fourfolds; this answers a problem posed by Perry, Pertusi and Zhao. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_00301 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | EPW sextics vs EPW cubes Kapustka, Grzegorz Kapustka, Michal Mongardi, Giovanni Algebraic Geometry We study a correspondence between double EPW cubes and double EPW sextics, two families of polarized hyper-Kähler manifolds related to Gushel--Mukai fourfolds. We infer relations between these families in terms of Hodge structures and moduli spaces of elliptic curves. As an application, we prove that a very general double EPW cube is the moduli space of stable objects with respect to a suitable stability condition on the Kuznetsov component of its corresponding Gushel--Mukai fourfolds; this answers a problem posed by Perry, Pertusi and Zhao. |
| title | EPW sextics vs EPW cubes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2202.00301 |