We prove the existence of Bridgeland stability conditions on the Kuznetsov com-ponents of Gushel-Mukai varieties, and describe the structure of moduli spaces of Bridgeland semistable objects in these categories in the even-dimensional case. As applications, we construct a new infinite series of unirational locally complete families of polarized hyperkahler varieties of K3 type, and characterize Hodge-theoretically when the Kuznetsov component of an even-dimensional Gushel-Mukai variety is equivalent to the derived category of a K3 surface.
Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties / A. Perry, L. Pertusi, X. Zhao. - In: GEOMETRY & TOPOLOGY. - ISSN 1465-3060. - 26:7(2022), pp. 3055-3121. [10.2140/gt.2022.26.3055]
Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties
L. PertusiPenultimo
;
2022
Abstract
We prove the existence of Bridgeland stability conditions on the Kuznetsov com-ponents of Gushel-Mukai varieties, and describe the structure of moduli spaces of Bridgeland semistable objects in these categories in the even-dimensional case. As applications, we construct a new infinite series of unirational locally complete families of polarized hyperkahler varieties of K3 type, and characterize Hodge-theoretically when the Kuznetsov component of an even-dimensional Gushel-Mukai variety is equivalent to the derived category of a K3 surface.File | Dimensione | Formato | |
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