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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書誌詳細
第一著者:	Anthes, Ben
その他の著者:	Rollenske, Sönke (Prof. Dr.) (論文の指導者)
フォーマット:	Dissertation
言語:	英語
出版事項:	Philipps-Universität Marburg 2018
主題:	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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その他の書誌記述
要約:	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.
物理的記述:	100 Seiten
DOI:	10.17192/z2019.0050

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

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