Kulikov surfaces form a connected component of the moduli space

Details Kulikov surfaces form a connected component of the moduli space Kulikov surfaces form a connected component of the moduli space

2010-11-25

arxiv.org/abs/1011.5574v2

Mathematics

Algebraic Geometry

24 pages, to appear in Nagoya Math. J

Scientific paper

We show that the Kulikov surfaces form a connected component of the moduli
space of surfaces of general type with p_g=0 and K^2=6. We also give a new
description for the surfaces, extending ideas of Inoue. Finally we calculate
the bicanonical degree of a Kulikov surface, and prove that they verify the
Bloch conjecture.

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