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On codimension 1 families of singular meromorphic foliations having a meromorphic first integral

✍ Scribed by E. Ballico


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
143 KB
Volume
111
Category
Article
ISSN
0166-8641

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✦ Synopsis


Let X βŠ‚ CP N be a smooth compact complex manifold. Here we study certain codimension 1 holomorphic foliations with singularities on X cut out by a pencil of hyperplanes through a codimension 2 linear subspace of CP N . We classify the codimension 1 strata of the closure, M, of the foliations on X induced by Lefschetz pencils. Under certain cohomological assumptions we describe M. For certain X we study also a few related holomorphic singular foliations of higher codimension.


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