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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Bibliographic Details
Main Author: Anthes, Ben
Contributors: Rollenske, Sönke (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2018
Subjects:
stable surfaces
Mathematik
semi-log-kanonische Singularitäten
Algebraic surfaces
Ebene Kurve
Gorenstein Singularitäten
semi log canonical singularities
Algebraische Fläche
Gorenstein singularities
stabile Flächen
Algebraic surfaces of general type
Algebraische Flächen vom allgemeinen typ
Modulraum
Algebraische Geometrie
moduli spaces
Algebraische Flächen
Mathematics
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Summary: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.
Physical Description:100 Pages
DOI:10.17192/z2019.0050

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