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

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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Detaylı Bibliyografya
Yazar: Do, Anh Thi
Diğer Yazarlar: Rollenske, Sönke (Prof. Dr.) (Tez danışmanı)
Materyal Türü: Dissertation
Dil:İngilizce
Baskı/Yayın Bilgisi: Philipps-Universität Marburg 2021
Konular:
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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Özet: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.
Fiziksel Özellikler:85 Seiten
DOI:10.17192/z2021.0299

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