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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Bibliografiske detaljer
Hovedforfatter: Anthes, Ben
Andre forfattere: Rollenske, Sönke (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprog:engelsk
Udgivet: Philipps-Universität Marburg 2018
Fag:
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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Beskrivelse
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.
Fysisk beskrivelse:100 Seiten
DOI:10.17192/z2019.0050

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