On the period of Li, Pertusi, and Zhao’s symplectic variety
Canadian journal of mathematics, Tome 76 (2024) no. 4, pp. 1432-1453
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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.
Mots-clés :
Moduli spaces of Bridgeland semistable objects, cubic fourfolds, intermediate Jacobian fibrations, irreducible holomorphic symplectic manifolds
Giovenzana, Franco; Giovenzana, Luca; Onorati, Claudio. On the period of Li, Pertusi, and Zhao’s symplectic variety. Canadian journal of mathematics, Tome 76 (2024) no. 4, pp. 1432-1453. doi: 10.4153/S0008414X23000470
@article{10_4153_S0008414X23000470,
author = {Giovenzana, Franco and Giovenzana, Luca and Onorati, Claudio},
title = {On the period of {Li,} {Pertusi,} and {Zhao{\textquoteright}s} symplectic variety},
journal = {Canadian journal of mathematics},
pages = {1432--1453},
year = {2024},
volume = {76},
number = {4},
doi = {10.4153/S0008414X23000470},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000470/}
}
TY - JOUR AU - Giovenzana, Franco AU - Giovenzana, Luca AU - Onorati, Claudio TI - On the period of Li, Pertusi, and Zhao’s symplectic variety JO - Canadian journal of mathematics PY - 2024 SP - 1432 EP - 1453 VL - 76 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000470/ DO - 10.4153/S0008414X23000470 ID - 10_4153_S0008414X23000470 ER -
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