Campedelli surfaces with fundamental group of order 8
Algebraic Geometry
2008-05-02 v1
Abstract
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.
Cite
@article{arxiv.0805.0006,
title = {Campedelli surfaces with fundamental group of order 8},
author = {Margarida Mendes Lopes and Rita Pardini and Miles Reid},
journal= {arXiv preprint arXiv:0805.0006},
year = {2008}
}
Comments
10 pages