CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe give a new construction of Teichmueller space by patching together Kuranishi families. Teichmueller space is constructed directly as a complex manifold, and the construction makes it obvious that it enjoys a natural universal property; it is also very easy to show that the action of the Teichmueller modular group on Teichmueller space is properly discontinuous. We also discuss the basic properties of Teichmueller space, and in particular show that our construction leads to significant simplifications in the proof of the fundamental theorem asserting that the genus g Teichmueller space is homeomorphic to a (6g - 6)-dimensional ball.
Teichmüller space via Kuranishi families / Arbarello Enrico; Cornalba Maurizio. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - 8:1(2009), pp. 89-116.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Teichmüller space via Kuranishi families |
| Autori: | |
| Data di pubblicazione: | 2009 |
| Rivista: | |
| Citazione: | Teichmüller space via Kuranishi families / Arbarello Enrico; Cornalba Maurizio. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - 8:1(2009), pp. 89-116. |
| Abstract: | We give a new construction of Teichmueller space by patching together Kuranishi families. Teichmueller space is constructed directly as a complex manifold, and the construction makes it obvious that it enjoys a natural universal property; it is also very easy to show that the action of the Teichmueller modular group on Teichmueller space is properly discontinuous. We also discuss the basic properties of Teichmueller space, and in particular show that our construction leads to significant simplifications in the proof of the fundamental theorem asserting that the genus g Teichmueller space is homeomorphic to a (6g - 6)-dimensional ball. |
| Handle: | http://hdl.handle.net/11571/105874 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Copyright © 2021