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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פורמט: | Dissertation |
שפה: | אנגלית |
יצא לאור: |
Philipps-Universität Marburg
2018
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גישה מקוונת: | PDF-Volltext |
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סיכום: | 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. |
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תיאור פיזי: | 100 Seiten |
DOI: | 10.17192/z2019.0050 |