Data di Pubblicazione:
2007
Citazione:
Symplectic automorphisms of prime order on $K3$ surfaces / A. Garbagnati, A. Sarti. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 318:1(2007), pp. 323-350.
Abstract:
We study algebraic K3 surfaces (defined over the complex number field) with a symplectic automorphism of prime order. In particular we consider the action of the automorphism on the second cohomology with integer coefficients (by a result of Nikulin this action is independent on the choice of the K3 surface). With the help of elliptic fibrations we determine the invariant sublattice and its perpendicular complement, and show that the latter coincides with the Coxeter–Todd lattice in the case of automorphism of order three.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Automorphisms; K3 surfaces; Moduli
Elenco autori:
A. Garbagnati, A. Sarti
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