In this paper we construct a six-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 fourdimensional 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.
Supino, P. (1998). A note on Campedelli surfaces. GEOMETRIAE DEDICATA, 71, 19-31 [10.1023/A:1004951701864].
A note on Campedelli surfaces
SUPINO, PAOLA
Investigation
1998-01-01
Abstract
In this paper we construct a six-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 fourdimensional 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.File in questo prodotto:
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