Abstract

Let S be a minimal complex surface of general type with p g = 0 such that the bicanonical map φ of S is not birational and let Z be the bicanonical image. In [M. Mendes Lopes, R. Pardini, Math. Z. 241 (4) (2002) 673–683] it is shown that either: (i) Z is a rational surface, or (ii) K S 2 = 3 , the map φ is a degree two morphism and Z is birational to an Enriques surface. Up to now no example of case (ii) was known. Here an explicit construction of all such surfaces is given. Furthermore it is shown that the corresponding subset of the moduli space of surfaces of general type is irreducible and uniruled of dimension 6.

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