We discuss the problem of determining the de Rham, Dolbeault and algebraic cohomological dimension of the moduli space Mg of Riemann surfaces of genus g, focusing on possible strategies of attack and then concentrating on exhaustion functions. In the final section we explain how these techniques can be employed to provide a non-trivial upper bound for the Dolbeault cohomological dimension of Mg.
Investigating the cohomological dimensions of Mg / Mondello, Gabriele. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - STAMPA. - 27:7(2016), pp. XXX-YYY. [10.1142/S0129167X16400085]
Investigating the cohomological dimensions of Mg
MONDELLO, GABRIELE
2016
Abstract
We discuss the problem of determining the de Rham, Dolbeault and algebraic cohomological dimension of the moduli space Mg of Riemann surfaces of genus g, focusing on possible strategies of attack and then concentrating on exhaustion functions. In the final section we explain how these techniques can be employed to provide a non-trivial upper bound for the Dolbeault cohomological dimension of Mg.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Mondello_Investigating_2016.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
287.09 kB
Formato
Adobe PDF
|
287.09 kB | Adobe PDF | Contatta l'autore |
|
Mondello_postprint_Investigating_2016.pdf
accesso aperto
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Creative commons
Dimensione
476.47 kB
Formato
Unknown
|
476.47 kB | Unknown |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
