Stratifications of the moduli space of curves and related questions
We discuss results and open problem on the geometry of the moduli space of complex curves, with special emphasis on vanishing results in cohomology and in the tautological ring. The focus is on the techniques, namely algebraic stratifications, transversely real foliations and q-convex exhaustion fun...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2014-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2014(3-4)/131-158.pdf |
| Summary: | We discuss results and open problem on the geometry of the moduli space of complex curves, with special emphasis on vanishing results in cohomology and in the tautological ring. The focus is on the techniques, namely algebraic stratifications, transversely real foliations and q-convex exhaustion functions. A selection of related problems in the field is also quickly mentioned. |
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| ISSN: | 1120-7183 2532-3350 |