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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Bibliographic Details

Main Author:	Anthes, Ben
Contributors:	Rollenske, Sönke (Prof. Dr.) (Thesis advisor)
Format:	Doctoral Thesis
Language:	English
Published:	Philipps-Universität Marburg 2018
Subjects:	Mathematik Ebene Kurve Gorenstein Singularitäten Algebraische Fläche Algebraic surfaces of general type stabile Flächen Algebraische Flächen vom allgemeinen typ Algebraic surfaces semi-log-kanonische Singularitäten Modulraum Algebraische Geometrie Algebraische Flächen semi log canonical singularities moduli spaces Gorenstein singularities stable surfaces Mathematics
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