Surfaces with K^2=8, p_g=4 and canonical involution

Details Surfaces with K^2=8, p_g=4 and canonical involution Surfaces with K^2=8, p_g=4 and canonical involution

2006-03-03

arxiv.org/abs/math/0603094v2

Mathematics

Algebraic Geometry

23 pages. In this version we correct an error (which does not change the main theorem) and simplify substantially some proofs.

Scientific paper

In this paper we classify completely all regular minimal surfaces with K^2=8,
p_g=4 whose canonical map is composed with an involution. We obtain six
unirational families of respective dimensions 28,28,32,33,38,34. The last two
are irreducible components of the moduli space of minimal surfaces with K^2=8,
p_g=4. These families hit three different topological types.

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