Vanishing Cycles in Holomorphic Foliations by Curves and Foliated Shells

Details Vanishing Cycles in Holomorphic Foliations by Curves and Foliated Shells Vanishing Cycles in Holomorphic Foliations by Curves and Foliated Shells

2008-12-11

arxiv.org/abs/0812.2114v3

Mathematics

Complex Variables

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

Scientific paper

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.

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