English

Non-symplectic automorphisms of order 3 on K3 surfaces

Algebraic Geometry 2008-01-22 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0801.3101,
  title  = {Non-symplectic automorphisms of order 3 on K3 surfaces},
  author = {Michela Artebani and Alessandra Sarti},
  journal= {arXiv preprint arXiv:0801.3101},
  year   = {2008}
}

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17 pages