Quadruple covers and Gorenstein stable surfaces with K^2=1 and χ=2

In this thesis we study Gorenstein stable surfaces with K 2X = 1 and \chi(\ko_X) = 2. These arise as quadruple covers of the projective plane and we give the precise relation between the structure of the cover and the canonical ring. We then use these results to study some strata of the moduli sp...

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Bibliographic Details
Main Author: Do, Anh Thi
Contributors: Rollenske, Sönke (Prof. Dr.) (Thesis advisor)
Format: Dissertation
Language:English
Published: Philipps-Universität Marburg 2021
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Summary:In this thesis we study Gorenstein stable surfaces with K 2X = 1 and \chi(\ko_X) = 2. These arise as quadruple covers of the projective plane and we give the precise relation between the structure of the cover and the canonical ring. We then use these results to study some strata of the moduli space \overline{\mathfrak{M}_1,2.
Physical Description:85 Pages
DOI:https://doi.org/10.17192/z2021.0299