Year: 2026
Type: article
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.
Source: Selecta Mathematica
Authors: Alexander Perry, Laura Pertusi, Xiaolei Zhao
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Awards: Derived Categories, Hodge Theory, and Birational Geometry, CAREER: Geometry of Derived Categories, FRG: Collaborative Research: Derived Categories, Moduli Spaces, and Classical Algebraic Geometry, Hyperkähler Geometry, Stability Conditions, and Moduli Spaces, FRG: Collaborative Research: Derived Categories, Moduli Spaces, and Classical Algebraic Geometry
OpenAlex ID: W4377130799