Non-symplectic automorphisms of order multiple of seven on K3 surfaces

Primer Autor
Comparin, P
Co-autores
Bell, R.
Li, J.
Rincon-Hidalgo, A.
Sarti, A.
Zanardini, A.
Título
Non-symplectic automorphisms of order multiple of seven on K3 surfaces
Editorial
ELSEVIER
Revista
JOURNAL OF PURE AND APPLIED ALGEBRA
Lenguaje
en
Resumen
In this paper we present a complete classification of non-symplectic automorphisms of K3 surfaces whose order is a multiple of seven by describing the topological type of their fixed locus. In the case of purely non-symplectic automorphisms, we provide new results for order 14 and alternative proofs for orders 21, 28 and 42, so that we can unify in the same paper the results on these automorphisms. For each of these orders we also consider not purely non-symplectic automorphisms and obtain a complete characterization of their fixed loci. Several results of our paper were obtained independently in the recent paper [12] by Brandhorst and Hofmann, but the methods used in the two papers are completely different.(c) 2023 Elsevier B.V. All rights reserved.
Fecha Publicación
2024
Tipo de Recurso
artículo original
doi
10.1016/j.jpaa.2023.107517
Formato Recurso
PDF
Palabras Claves
K3 surfaces
Automorphisms
Ubicación del archivo
http://dx.doi.org/10.1016/j.jpaa.2023.107517
Categoría OCDE
Matemáticas
Materias
superficies K3
Automorfismos
Identificador del recurso (Mandatado-único)
artículo original
Versión del recurso (Recomendado-único)
versión publicada
Derechos de acceso
metadata
Access Rights
metadata
Id de Web of Science
WOS:001075975700001
ISSN
0022-4049
Tipo de ruta
Green Submitted
Categoría WOS
Matemáticas
Colecciones
Colección Publicaciones Científicas
Colección ANID
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