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

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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Главный автор: Anthes, Ben
Другие авторы: Rollenske, Sönke (Prof. Dr.) (Научный руководитель)
Формат: Dissertation
Язык:английский
Опубликовано: Philipps-Universität Marburg 2018
Предметы:
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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Итог: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.
Объем:100 Seiten
DOI:10.17192/z2019.0050

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