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Moduli spaces of stable objects in Enriques categories

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arxiv 2305.10702 v1 pith:C35IJZI7 submitted 2023-05-18 math.AG

Alexander Perry , Laura Pertusi , Xiaolei Zhao This is my paper
classification math.AG
keywords moduliobjectsspacesstablecategoriesenriquesnonemptinessvarieties
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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.

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Cited by 7 Pith papers

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