Non-symplectic automorphisms of order 3 on K3 surfaces

Details Non-symplectic automorphisms of order 3 on K3 surfaces Non-symplectic automorphisms of order 3 on K3 surfaces

2008-01-20

arxiv.org/abs/0801.3101v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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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