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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Formato: | Dissertation |
Idioma: | inglês |
Publicado em: |
Philipps-Universität Marburg
2021
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Acesso em linha: | Texto Completo em Formato PDF |
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Resumo: | 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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Descrição Física: | 85 Seiten |
DOI: | 10.17192/z2021.0299 |