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.
Moduli spaces of stable objects in Enriques categories / A. Perry, L.P.. - In: SELECTA MATHEMATICA. - ISSN 1022-1824. - 32:3(2026 Jul), pp. 47.1-47.66. [10.1007/s00029-026-01149-7]
Moduli spaces of stable objects in Enriques categories
L. Pertusi
;
2026
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.
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