Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 465-499 |
Seitenumfang | 35 |
Fachzeitschrift | Kyoto Journal of Mathematics |
Jahrgang | 56 |
Ausgabenummer | 3 |
Publikationsstatus | Veröffentlicht - Sept. 2016 |
Abstract
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in: Kyoto Journal of Mathematics, Jahrgang 56, Nr. 3, 09.2016, S. 465-499.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
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TY - JOUR
T1 - Classification of automorphisms on a deformation family of hyper-Kähler four-folds by p-elementary lattices
AU - Boissière, Samuel
AU - Camere, Chiara
AU - Sarti, Alessandra
PY - 2016/9
Y1 - 2016/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84983528125&partnerID=8YFLogxK
U2 - 10.1215/21562261-3600139
DO - 10.1215/21562261-3600139
M3 - Article
AN - SCOPUS:84983528125
VL - 56
SP - 465
EP - 499
JO - Kyoto Journal of Mathematics
JF - Kyoto Journal of Mathematics
SN - 2156-2261
IS - 3
ER -