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Fibrations, Divisors and Transcendental Leaves

Jorge Vitorio Pereira

math.AGarXiv:math/0405078

Abstract

We will 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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