Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces
Algebraic Geometry
2009-09-22 v1
Abstract
This is the first in a series of articles on the moduli spaces of Burniat surfaces. We prove that Burniat surfaces are Inoue surfaces and we calculate their fundamental groups. As a main result of this paper we prove that every smooth projective surface which is homotopically equivalent to a primary Burniat surface (i.e., a Burniat surface with K^2 = 6) is indeed a primary Burniat surface.
Keywords
Cite
@article{arxiv.0909.3699,
title = {Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces},
author = {Ingrid Bauer and Fabrizio Catanese},
journal= {arXiv preprint arXiv:0909.3699},
year = {2009}
}