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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主要作者: Anthes, Ben
其他作者: Rollenske, Sönke (Prof. Dr.) (BetreuerIn (Doktorarbeit))
格式: Dissertation
語言:英语
出版: Philipps-Universität Marburg 2018
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總結: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.
實物描述:100 Seiten
DOI:10.17192/z2019.0050