We construct a connected, irreducible component of the moduli space of minimal surfaces of general type with pg = q = 2 and K2 = 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 pg = q = 2, k2 = 5 and albanese map of degree 3 / M. Penegini, F. Polizzi. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - 50:3(2013 Sep), pp. 643-686.
On surfaces with pg = q = 2, k2 = 5 and albanese map of degree 3
M. PeneginiPrimo
;
2013
Abstract
We construct a connected, irreducible component of the moduli space of minimal surfaces of general type with pg = q = 2 and K2 = 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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