Item type:Thesis, Open Access

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

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2021-08-09

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Philipps-Universität Marburg
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Abstract

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.

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Dates
Created: 2021Issued: 2021-08-09Updated: 2021-08-09
DOI
https://doi.org/10.17192/z2021.0299
Faculty
Fachbereich Mathematik und Informatik
Publisher
Philipps-Universität Marburg
Language
eng
Data types
DoctoralThesis
Keywords
Quadruple covers Algebraic geometry Gorenstein stable surfaces moduli space mathematics singularities Algebraic geometry semi-log-canonical sinVierfache verzweigte Überlagerungen Algebraische Geometrie Gorenstein stabile Flächen Modulraum Mathematik Singuläritäten Algebraische Geometrie
DDC-Numbers
510
License
https://creativecommons.org/licenses/by-nc-sa/4.0
URI
https://open.uni-marburg.de/handle/10.17192/z2021.0299
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Do, Anh Thi: Quadruple covers and Gorenstein stable surfaces with K^2=1 and χ=2. : Philipps-Universität Marburg 2021-08-09. DOI: https://doi.org/10.17192/z2021.0299.