Campedelli surfaces with fundamental group of order 8

Details Campedelli surfaces with fundamental group of order 8 Campedelli surfaces with fundamental group of order 8

2008-04-30

arxiv.org/abs/0805.0006v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We prove that an etale cover Y of degree 8 of a Campedelli surface S is a
complete intersection of four quadrics in P^6, obtaining as a consequence that
Y is the universal cover of S, the covering group G=Gal(Y/S)is the topological
fundamental group of S and that G cannot be the dihedral group of order 8. This
paper patches up an incomplete manuscript of the third author.

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