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On the period of Li, Pertusi, and Zhao’s symplectic variety

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posted on 2023-09-05, 10:19 authored by Franco Giovenzana, Luca Giovenzana, Claudio Onorati

We extend classical results of Perego and Rapagnetta on moduli spaces of sheaves of type OG10 to moduli spaces of Bridgeland semistable objects on the Kuznetsov component of a cubic fourfold. In particular, we determine the period of this class of varieties and use it to understand when they become birational to moduli spaces of sheaves on a K3 surface.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Canadian Journal of Mathematics

Publisher

Cambridge University Press

Version

  • AM (Accepted Manuscript)

Rights holder

© The Author(s)

Publisher statement

This article has been published in a revised form in Canadian Journal of Mathematics https://doi.org/10.4153/S0008414X23000470. This version is published under a Creative Commons CC-BY-NC-ND licence. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © The Author(s).

Acceptance date

2023-07-28

Publication date

2023-08-04

Copyright date

2023

ISSN

0008-414X

eISSN

1496-4279

Language

  • en

Depositor

Deposit date: 31 July 2023

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