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Non-symplectic automorphisms of order 3 on K3 surfaces

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In this paper we study K3 surfaces with a non-symplectic automorphism of order 3. In particular, we classify the topological structure of the fixed locus of such automorphisms and we show that it determines the action on cohomology. This allows us to describe the structure of the moduli space and to show that it has three irreducible components.

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Authors and Affiliations

  1. Departamento de Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile

    Michela Artebani

  2. Fachbereich für Mathematik, Johannes Gutenberg-Universität, 55099, Mainz, Germany

    Alessandra Sarti

Authors
  1. Michela Artebani
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  2. Alessandra Sarti
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Correspondence to Alessandra Sarti.

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Artebani, M., Sarti, A. Non-symplectic automorphisms of order 3 on K3 surfaces. Math. Ann. 342, 903–921 (2008). https://doi.org/10.1007/s00208-008-0260-1

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  • DOI: https://doi.org/10.1007/s00208-008-0260-1

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