Index theorems for holomorphic maps and foliations

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dc.creatorAbate, Marco
dc.creatorBracci, Filippo
dc.creatorTovena, Francesca
dc.date2006-01-25
dc.date.accessioned2026-07-07T06:59:16Z
dc.date.available2026-07-07T06:59:16Z
dc.descriptionWe 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.
dc.description46 pages
dc.identifierhttps://arxiv.org/abs/math/0601602
dc.identifierhttp://arxiv.org/abs/math/0601602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107687
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject32S65, 37F10, 32A27, 37F75
dc.titleIndex theorems for holomorphic maps and foliations
dc.typetext

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