Classification of automorphisms on a deformation family of hyper-Kähler four-folds by p-elementary lattices

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Samuel Boissière
  • Chiara Camere
  • Alessandra Sarti

Organisationseinheiten

Externe Organisationen

  • Universite de Poitiers
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Details

OriginalspracheEnglisch
Seiten (von - bis)465-499
Seitenumfang35
FachzeitschriftKyoto Journal of Mathematics
Jahrgang56
Ausgabenummer3
PublikationsstatusVeröffentlicht - Sept. 2016

Abstract

We give a classification of all nonsymplectic automorphisms of prime order p acting on irreducible holomorphic symplectic four-folds deformation equivalent to the Hilbert scheme of two points on a K3 surface, for p = 2, 3, and 7 ≤ p ≤ 19. Our classification relates some invariants of the fixed locus to the isometry classes of two natural lattices associated to the action of the automorphism on the second cohomology group with integer coefficients. In several cases we provide explicit examples. As an application, we find new examples of nonnatural nonsymplectic automorphisms of order 3.

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Classification of automorphisms on a deformation family of hyper-Kähler four-folds by p-elementary lattices. / Boissière, Samuel; Camere, Chiara; Sarti, Alessandra.
in: Kyoto Journal of Mathematics, Jahrgang 56, Nr. 3, 09.2016, S. 465-499.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Boissière S, Camere C, Sarti A. Classification of automorphisms on a deformation family of hyper-Kähler four-folds by p-elementary lattices. Kyoto Journal of Mathematics. 2016 Sep;56(3):465-499. doi: 10.1215/21562261-3600139, 10.1215/21562261-3600139
Boissière, Samuel ; Camere, Chiara ; Sarti, Alessandra. / Classification of automorphisms on a deformation family of hyper-Kähler four-folds by p-elementary lattices. in: Kyoto Journal of Mathematics. 2016 ; Jahrgang 56, Nr. 3. S. 465-499.
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