Data di Pubblicazione:
2013
Citazione:
On symplectic and non-symplectic automorphisms of K3 surfaces / A. Garbagnati, A. Sarti. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - 29:1(2013 Jan), pp. 135-162. [10.4171/RMI/716]
Abstract:
In this paper we investigate when the generic member of a family of complex K3 surfaces admitting a non-symplectic automorphism of finite order admits also a symplectic automorphism of the same order. We give a complete answer to this question if the order of the automor- phism is a prime number and we provide several examples and partial results otherwise. Moreover we prove that, under certain conditions, a K3 surface admitting a non-symplectic automorphism of prime odd order, p, also admits a non-symplectic automorphism of order 2p. This generalizes a previous result by J. Dillies for p = 3.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
K3 surfaces ; automorphisms
Elenco autori:
A. Garbagnati, A. Sarti
Link alla scheda completa: