Involutions on numerical Campedelli surfaces

  title={Involutions on numerical Campedelli surfaces},
  author={Alberto Calabri and Margarida Mendes Lopes and R. E. Pardini},
Numerical Campedelli surfaces are minimal surfaces of general type with p_g=0 (and so q=0) and K^2=2. Although they have been studied by several authors, their complete classification is not known. In this paper we classify numerical Campedelli surfaces with an involution, i.e. an automorphism of order 2. First we show that an involution on a numerical Campedelli surface S has either four or six isolated fixed points, and the bicanonical map of S is composed with the involution if and only if… CONTINUE READING


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