Abstract

We study the construction of complex minimal smooth surfaces S of general type with pg(S)=0 and KS2=7. Inoue constructed the first examples of such surfaces, which can be described as Galois Z/2Z×Z/2Z-covers over the four-nodal cubic surface. Later the first named author constructed more examples as Galois Z/2Z×Z/2Z-covers over certain six-nodal del Pezzo surfaces of degree one.In this paper we construct a two-dimensional family of minimal smooth surfaces of general type with pg=0 and K2=7, as Galois Z/2Z×Z/2Z-covers of certain rational surfaces with Picard number three, with eight nodes and with two elliptic fibrations. This family is different from the previous ones.

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