K3 surfaces with a non-symplectic automorphism and product-quotient surfaces with cyclic groups
نویسندگان
چکیده
منابع مشابه
Kummer Surfaces and K3 Surfaces with (z/2z) Symplectic Action
In the first part of this paper we give a survey of classical results on Kummer surfaces with Picard number 17 from the point of view of lattice theory. We prove ampleness properties for certain divisors on Kummer surfaces and we use them to describe projective models of Kummer surfaces of (1, d)polarized Abelian surfaces for d = 1, 2, 3. As a consequence we prove that in these cases the Néron–...
متن کاملReal K3 Surfaces with Non-symplectic Involutions and Applications
Classification of real K3 surfaces X with a non-symplectic involution τ is considered. For some exactly defined and one of the weakest possible type of degeneration (giving the very reach discriminant), we show that the connected component of their moduli is defined by the isomorphism class of the action of τ and the anti-holomorphic involution φ in the homology lattice. (There are very few sim...
متن کاملThe Modularity of K3 Surfaces with Non-symplectic Group Actions
We consider complex K3 surfaces with a non-symplectic group acting trivially on the algebraic cycles. Vorontsov and Kondō classified those K3 surfaces with transcendental lattice of minimal rank. The purpose of this note is to study the Galois representations associated to these K3 surfaces. The rank of the transcendental lattices is even and varies from 2 to 20, excluding 8 and 14. We show tha...
متن کاملAutomorphism Groups in a Family of K3 Surfaces
A few facts concerning the phrase ”the automorphism groups become larger at special points of the moduli of K3 surfaces” are presented. It is also shown that the automorphism groups are of infinite order over a dense subset in any onedimensional non-trivial family of projective K3 surfaces.
متن کاملOn Symplectic and Non–symplectic Automorphisms of K3 Surfaces
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 automorphism is a prime number and we provide several examples and partial results otherwise. Moreover we prove that, under certain c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2015
ISSN: 0213-2230
DOI: 10.4171/rmi/869