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arXiv:1011.4388 [math.AG]AbstractReferencesReviewsResources

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

Matteo Penegini, Francesco Polizzi

Published 2010-11-19, updated 2012-07-10Version 2

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.

Comments: 35 pages, 2 figures. Final version, to appear in the Osaka Journal of Mathematics
Journal: Osaka Journal of Mathematics 50 (2013), 643-686
Categories: math.AG
Subjects: 14J29, 14J10, 14J60
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