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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: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2021
Subjects:
Quadruple covers Algebraic geometry Gorenstein stable surfaces moduli space mathematics singularities Algebraic geometry semi-log-canonical sin
Mathematik
Vierfache verzweigte Überlagerungen Algebraische Geometrie Gorenstein stabile Flächen Modulraum Mathematik Singuläritäten Algebraische Geometrie
Mathematics
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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:10.17192/z2021.0299

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