paper

Vanishing Cycles in Holomorphic Foliations by Curves and Foliated Shells

arXiv:0812.2114

Abstract

The purpose of this paper is the study of vanishing cycles in holomorphic foliations by complex curves on compact complex manifolds. The main result consists in showing that a vanishing cycle comes together with a much richer complex geometric object - we call this object a foliated shell.

65 pages, 9 figures. A Section about pluriexact foliatins added. To appear in GAFA

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