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.
Stratifications of the moduli space of curves and related questions / Mondello, Gabriele. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - STAMPA. - 35:VII(2014), pp. 131-158.
Stratifications of the moduli space of curves and related questions
MONDELLO, GABRIELE
2014
Abstract
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.File allegati a questo prodotto
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