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.

On surfaces with p_g=q=2, K^2=5 and Albanese map of degree 3 / Penegini, M; Polizzi, Francesco. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - 50(2013), pp. 643-686.

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

POLIZZI, Francesco
2013

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/131865
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