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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Bibliografiska uppgifter
Huvudupphovsman: Do, Anh Thi
Övriga upphovsmän: Rollenske, Sönke (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Materialtyp: Dissertation
Språk:engelska
Publicerad: Philipps-Universität Marburg 2021
Ämnen:
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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Beskrivning
Sammanfattning: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.
Fysisk beskrivning:85 Seiten
DOI:10.17192/z2021.0299

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