Burniat-type surfaces and a new family of surfaces with pg = 0, K2 = 3

Abstract

In this paper, one of a series devoted to the classification, the moduli spaces and the discovery of new surfaces of general type with geometric genus pg= 0, we generalize a classical construction method due to Burniat (and revisited by Inoue), constructing surfaces with K2 = 3 and a with a new fundamental group of order 16.

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