Translator Disclaimer
September 2007 Cohomology of the fundamental groups of toroidal groups
Masanori Muta, Takashi Umeno
Osaka J. Math. 44(3): 505-530 (September 2007).

Abstract

We construct an isomorphism between the $\overline{\partial}$-cohomology and the cohomology of the fundamental groups of toroidal groups, and get a standard form of $p$-cocycles, which was given by Vogt [6] in case of $1$-cocycles. Using differential forms via the above isomorphism enables us to obtain new results in higher dimensional cases. An explicit isomorphism between the Čech cohomology and the cohomology of the fundamental groups of complex tori is given in [5] (p.14). Our results give a generalization of this isomorphism to toroidal groups.

Citation

Download Citation

Masanori Muta. Takashi Umeno. "Cohomology of the fundamental groups of toroidal groups." Osaka J. Math. 44 (3) 505 - 530, September 2007.

Information

Published: September 2007
First available in Project Euclid: 13 September 2007

zbMATH: 1141.22003
MathSciNet: MR2360938

Subjects:
Primary: 32M05

Rights: Copyright © 2007 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
26 PAGES


SHARE
Vol.44 • No. 3 • September 2007
Back to Top