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Peer-reviewedCC BYSelecta Mathematica

Moduli spaces of stable objects in Enriques categories

  • Alexander Perry1
  • Laura Pertusi2
  • Xiaolei Zhao3
  1. 1Department of Mathematics, University of Michigan, Ann Arbor, 48109, USA
  2. 2Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Cesare Saldini 50, 20133, Milano, Italy
  3. 3Department of Mathematics, University of California, South Hall, Room 6607, 93106, Santa Barbara, USA
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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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Cite

BibTeXRIS
BibTeX
@article{perry2026moduli,
  title = {{Moduli spaces of stable objects in Enriques categories}},
  author = {Alexander Perry and Laura Pertusi and Xiaolei Zhao},
  journal = {Selecta Mathematica},
  year = {2026},
  month = may,
  doi = {10.1007/s00029-026-01149-7},
  url = {https://doi.org/10.1007/s00029-026-01149-7},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Moduli spaces of stable objects in Enriques categories
AU  - Alexander Perry
AU  - Laura Pertusi
AU  - Xiaolei Zhao
PY  - 2026
DA  - 2026/05/16
JO  - Selecta Mathematica
DO  - 10.1007/s00029-026-01149-7
UR  - https://doi.org/10.1007/s00029-026-01149-7
AB  - 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.
SN  - 1022-1824
SN  - 1420-9020
ER  -