Skip Navigation


Journal of the London Mathematical Society Advance Access originally published online on January 12, 2007
Journal of the London Mathematical Society 2007 75(1):99-115; doi:10.1112/jlms/jdl005
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
75/1/99    most recent
jdl005v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Bracci, F.
Right arrow Articles by Scárdua, B.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2007 London Mathematical Society

Holomorphic vector fields transverse to polydiscs

Filippo Bracci

Dipartimento di Matematica
Università di Roma ‘Tor Vergata’
Via della Ricerca Scientifica 1
00133 Roma
Italy
fbracci{at}mat.uniroma2.it

Bruno Scárdua

Instituto de Matemática
Universidade Federal do Rio de Janeiro
Caixa Postal 68530
21.945-970 Rio de Janeiro-RJ
Brazil
scardua{at}impa.br

In this article, we study holomorphic vector fields transverse to the boundary of a polydisc in Cn, n ≥ 3. We prove that, under a suitable hypothesis of transversality with the boundary of the polydisc, the foliation is the pull-back of a linear hyperbolic foliation via a locally injective holomorphic map. This is the n ≥ 3 version for one-dimensional foliations of a previous result proved for n = 2 by Brunella and Sad and for codimension-one foliations by Ito and Scárdua.

2000 Mathematics Subject Classification 32L30 (primary), 58F18, 57R30, 34A26 (secondary).

Received April 14, 2005; revised January 10, 2006; published online January 12, 2007.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.