Moduli spaces of stable objects in Enriques categories

Autor:	Perry, Alexander, Pertusi, Laura, Zhao, Xiaolei
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We study moduli spaces of stable objects in Enriques categories by exploiting their relation to moduli spaces of stable objects in associated K3 categories. In particular, we settle the nonemptiness problem for moduli spaces of stable objects in the Kuznetsov components of several interesting classes of Fano varieties, and deduce the nonemptiness of fixed loci of certain antisymplectic involutions on modular hyperk\"{a}hler varieties. Comment: 52 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.10702 Zobrazit plný text záznamu View this record from Arxiv