Abstract
In this paper we construct a 6-dimensional family of surfaces of general type with pg=pa=0 and K2=2, classically known as Campedelli surfaces. We start from a well known 4-dimensional family and obtain a family which is of maximal dimension. The construction presented here allows an explicit description of the algebraic structure of the corresponding component of the coarse moduli space. As a by-product, we also show that some surfaces with pg=pa=4 and K2=10 have a smooth local moduli space of dimension 30.
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Supino, P. A Note on Campedelli Surfaces. Geometriae Dedicata 71, 19–31 (1998). https://doi.org/10.1023/A:1004951701864
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DOI: https://doi.org/10.1023/A:1004951701864