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Author Bauer, Ingrid ♦ Catanese, Fabrizio
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-07
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Algebraic Geometry ♦ 14J25 ♦ 14J29 ♦ 14H30 ♦ 32Q30 ♦ 14D22 ♦ 32G05 ♦ 14J10 ♦ math
Abstract We prove in one go that each of the 4 families of Burniat surfaces with K^2 = 6,5,4, is a connected component of the moduli space of surfaces of general type. We prove also the rationality of each component. In the nodal case (one of the two families for K^2_S = 4) a very surprising and new phenomenon occurs. Both the moduli space for the minimal models and the Gieseker moduli space for canonical models are everywhere non reduced. But the nilpotence order is higher for the first.
Educational Use Research
Learning Resource Type Article
Page Count 26


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