Journal of Algebraic Geometry

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		Online ISSN 1534-7486; Print ISSN 1056-3911

Fibrations, divisors and transcendental leaves

Author(s): Jorge Vitório Pereira; with an Appendix by Laurent Meersseman
Journal: J. Algebraic Geom. 15 (2006), 87-110.
Posted: September 7, 2005
MathSciNet review: 2177196
Retrieve article in: PDF

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.

References:

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3.: E. Ghys, À propos d'un théorème de J.-P. Jouanolou concernant les feuilles fermées des feuilletages holomorphes, Rend. Circ. Mat. Palermo (2) 49 (2000), no. 1, 175-180. MR 1753461 (2001i:32048)
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References for Appendix:

1.: F. Bosio; L. Meersseman, Real quadrics in $\mathbb C^n$ , complex manifolds and convex polytopes, preprint, 2004.
2.: S. López de Medrano; A. Verjovsky, A new family of complex, compact, non symplectic manifolds, Bol. Soc. Mat. Bra. 28 (2), 253-269, 1997. MR 1479504 (98g:32047)
3.: L. Meersseman, A new geometric construction of compact complex manifolds in any dimension, Math. Ann. 317, 79-115, 2000. MR 1760670 (2001i:32029)

Additional Information:

Jorge Vitório Pereira
Affiliation: I.R.M.A.R. - Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex France - (\text{\rm 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: 10.1090/S1056-3911-05-00417-0
PII: S 1056-3911(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
Posted: September 7, 2005
Additional Notes: The author was partially supported by PROFIX/CNPq and CNRS

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