2006/01/25 by Marco Abate, Filippo Bracci, Abate, Marco +3
Mathematics · #32A27 #32S65 #37F10 #37F75 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CV #math.DS #msc:32A27 #msc:32S65 #msc:37F10 #msc:37F75
paper · pdf · doi:10.48550/arxiv.math/0601602
46 pages
arxiv created 2006/01/25 · arxiv updated 2009/12/01
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.