Moduli spaces of stable objects in Enriques categories
Algebraic Geometry
2023-05-19 v1
Abstract
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.
Cite
@article{arxiv.2305.10702,
title = {Moduli spaces of stable objects in Enriques categories},
author = {Alexander Perry and Laura Pertusi and Xiaolei Zhao},
journal= {arXiv preprint arXiv:2305.10702},
year = {2023}
}
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52 pages