caa a22 4500 44583580X CHVBK 20180317145330.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00209-010-0681-x doi (NATIONALLICENCE)springer-10.1007/s00209-010-0681-x K 3 surfaces with non-symplectic automorphisms of prime order [Elektronische Daten] [Michela Artebani, Alessandra Sarti, Shingo Taki] 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. Springer-Verlag, 2010 K 3 surface nationallicence Non-symplectic automorphism nationallicence Lattice nationallicence Artebani Michela Departamento de Matemática, Universidad de Concepción, Casilla160-C, Concepción, Chile aut Sarti Alessandra Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2 Boulevard Marie et Pierre Curie, BP 30179, 86962, Futuroscope Chasseneuil Cedex, France aut Taki Shingo Graduate School of Mathematics, Nagoya University, Chikusa-ku, 464-8602, Nagoya, Japan aut Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 507-533 0025-5874 268:1-2<507 2011 268 209 https://doi.org/10.1007/s00209-010-0681-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0681-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Artebani Michela Departamento de Matemática, Universidad de Concepción, Casilla160-C, Concepción, Chile aut NATIONALLICENCE 700 1- Sarti Alessandra Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2 Boulevard Marie et Pierre Curie, BP 30179, 86962, Futuroscope Chasseneuil Cedex, France aut NATIONALLICENCE 700 1- Taki Shingo Graduate School of Mathematics, Nagoya University, Chikusa-ku, 464-8602, Nagoya, Japan aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 507-533 0025-5874 268:1-2<507 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer