Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces

Mathematics – Algebraic Geometry

Scientific paper

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Color version; black-and-white version at http://www.math.uga.edu/~valery/ap-bw.pdf

Scientific paper

We describe the compactifications obtained by adding slc surfaces X with
ample K_X, for two connected components in the moduli space of surfaces of
general type: Campedelli surfaces with \pi_1(X)=\bZ_2^3, and Burniat surfaces
with K_X^2=6.

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