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arxiv: math/0405078 · v1 · submitted 2004-05-05 · 🧮 math.AG

Fibrations, Divisors and Transcendental Leaves

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keywords divisorsfibrationsfoliationsleavestranscendentalassociatedcanonicallyclosure
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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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