A connected component of the moduli space of surfaces of general type with p g = 0

Abstract

Let S be a minimal surface of general type with pg(S) = 0 and such that the bicanonical map φ : S → P 2 S is a morphism: then the degree of φ is at most 4 by [7], and if it is equal to 4 then K2 S ≤ 6 by [8]. We prove that if K2 S = 6 and deg φ = 4 then S is a so-called Burniat surface (see [12]). In addition we show that minimal surfaces with pg = 0, K 2… (More)

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