Moduli spaces of stable objects in Enriques categories
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 hyperkähler varieties.
Authors
- Xiaolei Zhao (ORCID: https://orcid.org/0000-0002-3162-0427)
- Perry Alexander (ORCID: https://orcid.org/0000-0002-5387-9157)
- Laura Pertusi (ORCID: https://orcid.org/0000-0002-9982-1858)
Institutions
- University of California, Santa Barbara (US)
- University of Milan (IT)
- University of Michigan (US)
Publication Details
- Journal
- Selecta Mathematica
- Published
- 2026-05-16
- DOI
- https://doi.org/10.1007/s00029-026-01149-7
- Citations
- 1
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Università degli Studi di Milano