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Seminario DAGA: On surfaces with $p_g=q=2$, $K2=5$ and Albanese map of degree $3$

Venerdi 12 Novembre 2010 - Matteo Penegini

ARGOMENTI: Seminari

SEMINARIO DAGA
Matteo Penegini (Bayreuth)
"On surfaces with $p_g=q=2$, $K2=5$ and Albanese map of degree $3$"
Venerdi 12 Novembre 2010, ore 15:30, aula 2AB40

-Abstract
In a joint work with Francesco Polizzi, we construct a connected, irreducible component of the moduli space of minimal surfaces of general type with $p_g=q=2$ and $K2=5$, which contains both examples given by Chen-Hacon and by myself in a previous work. This component is generically smooth of dimension $4$, and all its points parametrize surfaces whose Albanese map is a generically finite triple cover. In this talk I shall explain how we proved this result starting with the definition of Chen-Hacon surface and giving a characterization of these surfaces.

Rif. int. A. Bertapelle

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