Polito: The fourth tautological group of $\overline{\mathfrak{M}}

Polito, Marzia:
The fourth tautological group of $\overline{\mathfrak{M}}_{g,n}$ and relations with the cohomology (Il quarto gruppo tautologico di $\overline{\mathfrak{M}}_{g,n}$ e relazioni con la coomologia)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 14 (2003), fasc. n.2, p. 137-168, (English)
pdf (672 Kb), djvu (425 Kb). | MR2053662 | Zbl 1177.14056

Sunto

Si dà una descrizione completa del quarto gruppo tautologico dello spazio di moduli delle curve puntate stabili, $\overline{\mathfrak{M}}_{g,n}$, e si dimostra che per $g \ge 8$ tale gruppo coincide con il gruppo di coomologia a coefficienti razionali. Si formula inoltre una congettura sulla dimensione massima del grado delle nuove relazioni tautologiche, in funzione del genere.

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Referenza completa

Sunto

Referenze Bibliografiche