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Moduli spaces of stable objects in Enriques categories

  • Alexander Perry [1] ; Laura Pertusi [2] ; Xiaolei Zhao [3]
    1. [1] University of Michigan–Ann Arbor

      University of Michigan–Ann Arbor

      City of Ann Arbor, Estados Unidos

    2. [2] University of Milan

      University of Milan

      Milán, Italia

    3. [3] University of California, Santa Barbara

      University of California, Santa Barbara

      Estados Unidos

    Mostrar afiliaciones +
  • Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 32, Nº. 3, 2026
  • Idioma: inglés
  • DOI: 10.1007/s00029-026-01149-7
  • Enlaces
  • Resumen

    • 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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