EPW sextics vs EPW cubes
2022
Online
report
We study a correspondence between double EPW cubes and double EPW sextics, two families of polarized hyper-K\"ahler 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.
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EPW sextics vs EPW cubes
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Autor/in / Beteiligte Person: | Kapustka, Grzegorz ; Kapustka, Michal ; Mongardi, Giovanni |
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Veröffentlichung: | 2022 |
Medientyp: | report |
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