Index theorems for holomorphic maps and foliations

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We describe a general construction providing index theorems localizing the Chern classes of the normal bundle of a subvariety inside a complex manifold. As particular instances of our construction we recover both Lehmann-Suwa's generalization of the classical Camacho-Sad index theorem for holomorphic foliations and our index theorem for holomorphic maps with positive dimensional fixed point set. Furthermore, we also obtain generalizations of recent index theorems of Camacho-Movasati-Sad and Camacho-Lehmann for holomorphic foliations transversal to a subvariety.
46 pages

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Complex Variables, Dynamical Systems, 32S65, 37F10, 32A27, 37F75

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http://salesiana.dossiersoluciones.com/handle/123456789/107687

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601602
 http://arxiv.org/abs/math/0601602

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arXiv