%0 Journal Article
%T A connected component of the moduli space of surfaces of general type with $p_g=0$
%A M. Mendes Lopes
%A R. Pardini
%J Mathematics
%D 1999
%I arXiv
%X Let S be a minimal surface of general type with $p_g(S)=0$ and such that the bicanonical map $\phi:S\to \pp^{K^2_S}$ is a morphism: then the degree of $\phi$ is at most 4 and if it is equal to 4 then $K^2_S\le 6$. Here we prove that if $K^2_S=6$ and $\deg \phi=4$ then S is a so-called {\em Burniat surface}. In addition we show that minimal surfaces with $p_g=0$, $K^2=6$ and bicanonical map of degree 4 form a 4-dimensional irreducible connected component of the moduli space of surfaces of general type.
%U http://arxiv.org/abs/math/9910012v1