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- Title
K3 surfaces with non-symplectic automorphisms of prime order.
- Authors
Artebani, Michela; Sarti, Alessandra; Taki, Shingo
- Abstract
In this paper we present the classification of non-symplectic automorphisms of prime order on K3 surfaces, i.e. we describe the topological structure of their fixed locus and determine their invariant lattice in cohomology. We provide new results for automorphisms of order 5 and 7 and alternative proofs for higher orders. Moreover, for any prime p, we identify the irreducible components of the moduli space of K3 surfaces with a non-symplectic automorphism of order p.
- Subjects
AUTOMORPHISMS; TOPOLOGICAL spaces; LATTICE theory; HOMOLOGY theory; GROUP theory
- Publication
Mathematische Zeitschrift, 2011, Vol 268, Issue 1/2, p507
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-010-0681-x