On surfaces with p_g=q=2, K^2=5 and Albanese map of degree 3

Details On surfaces with p_g=q=2, K^2=5 and Albanese map of degree 3 On surfaces with p_g=q=2, K^2=5 and Albanese map of degree 3

2010-11-19

arxiv.org/abs/1011.4388v1

Mathematics

Algebraic Geometry

34 pages, 2 figures

Scientific paper

We construct a connected, irreducible component of the moduli space of
minimal surfaces of general type with $p_g=q=2$ and $K^2=5$, which contains
both examples given by Chen-Hacon and the first author. This component is
generically smooth of dimension $4$, and all its points parametrize surfaces
whose Albanese map is a generically finite triple cover.

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