Gorenstein stable surfaces satisfying K_X^2 = 2 and χ(O_X)=4

Anthes, Ben

Gorenstein stable surfaces satisfying K_X^2 = 2 and χ(O_X)=4

We define and study a concrete stratification of the moduli space of Gorenstein stable surfaces X satisfying K_X^2 = 2 and χ(O_X ) = 4, by first establishing an isomorphism with the moduli space of plane octics with certain singularities, which is then easier to handle concretely. In total, there a...

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Автор:	Anthes, Ben
Інші автори:	Rollenske, Sönke (Prof. Dr.) (Керівник дипломної роботи)
Формат:	Dissertation
Мова:	англійська
Опубліковано:	Philipps-Universität Marburg 2018
Предмети:	semi log canonical singularities stable surfaces Algebraische Flächen vom allgemeinen typ Mathematik Algebraic surfaces Gorenstein Singularitäten Algebraic surfaces of general type Ebene Kurve Gorenstein singularities stabile Flächen Algebraische Fläche moduli spaces Modulraum Algebraische Geometrie semi-log-kanonische Singularitäten Algebraische Flächen Mathematics
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Резюме:	We define and study a concrete stratification of the moduli space of Gorenstein stable surfaces X satisfying K_X^2 = 2 and χ(O_X ) = 4, by first establishing an isomorphism with the moduli space of plane octics with certain singularities, which is then easier to handle concretely. In total, there are 47 inhabited strata with altogether 78 components.
Фізичний опис:	100 Seiten
DOI:	10.17192/z2019.0050

Gorenstein stable surfaces satisfying K_X^2 = 2 and χ(O_X)=4

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