In this article we describe the moduli space of minimal surfaces of general type S with $K^2=8,p_{g}=4,q=0$, $K$ divisible by 2 and the canonical linear system $|K|$ base point free, showing that it forms an irreducible open set of the moduli space of minimal surfaces with $K^2=8,p_{g}=4,q=0$. By previous results of Ciliberto[Ci] and Ciliberto, Francia, Mendes Lopes [CFM], the above result shows that the moduli space of surfaces with $K^2=8,p_{g}=4,q=0$ has at least three connected components.

On even surfaces of general type with k^2=8, p_g=4, q=0 / Oliverio, Paolo Antonio. - In: RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA. - ISSN 0041-8994. - 113(2005), pp. 1-14.

On even surfaces of general type with k^2=8, p_g=4, q=0

OLIVERIO, Paolo Antonio
2005

Abstract

In this article we describe the moduli space of minimal surfaces of general type S with $K^2=8,p_{g}=4,q=0$, $K$ divisible by 2 and the canonical linear system $|K|$ base point free, showing that it forms an irreducible open set of the moduli space of minimal surfaces with $K^2=8,p_{g}=4,q=0$. By previous results of Ciliberto[Ci] and Ciliberto, Francia, Mendes Lopes [CFM], the above result shows that the moduli space of surfaces with $K^2=8,p_{g}=4,q=0$ has at least three connected components.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/143835
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