Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Fibrations, divisors and transcendental leaves


Author: Jorge Vitório Pereira; with an Appendix by Laurent Meersseman
Journal: J. Algebraic Geom. 15 (2006), 87-110
DOI: https://doi.org/10.1090/S1056-3911-05-00417-0
Published electronically: September 7, 2005
MathSciNet review: 2177196
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Abstract | References | Additional Information

Abstract: We use flat divisors, and canonically associated singular holomorphic foliations, to investigate some of the geometry of compact complex manifolds. The paper is mainly concerned with three distinct problems: the existence of fibrations, the topology of smooth hypersurfaces, and the topological closure of transcendental leaves of foliations.


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Additional Information

Jorge Vitório Pereira
Affiliation: I.R.M.A.R. - Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex France; (Laurent Meersseman) I.R.M.A.R. - Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex France
Address at time of publication: IMPA - Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brasil
Email: jvp@impa.br

DOI: https://doi.org/10.1090/S1056-3911-05-00417-0
Received by editor(s): June 29, 2004
Received by editor(s) in revised form: September 7, 2004, March 24, 2005, and April 13, 2005
Published electronically: September 7, 2005
Additional Notes: The author was partially supported by PROFIX/CNPq and CNRS

American Mathematical Society