Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: This is the first in a series of articles on the moduli spaces of Burniatsurfaces. We prove that Burniat surfaces are Inoue surfaces and we calculatetheir fundamental groups. As a main result of this paper we prove that everysmooth projective surface which is homotopically equivalent to a primaryBurniat surface i.e., a Burniat surface with K^2 = 6 is indeed a primaryBurniat surface.



Author: Ingrid Bauer, Fabrizio Catanese

Source: https://arxiv.org/







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