Index theorems for holomorphic maps and foliations

DOI10.1512/iumj.2008.57.3729zbMath1179.32010arXivmath/0601602OpenAlexW2083848296MaRDI QIDQ3627552

Filippo Bracci, Francesca Tovena, Marco Abate

Publication date: 13 May 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601602

zbMATH Keywords

foliationindex theoremholomorphic mappartial connection

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75) Residues for several complex variables (32A27)

Related Items (10)

Extendable cohomologies for complex analytic varieties ⋮ Soul Searchin’ ⋮ Fatou Flowers and Parabolic Curves ⋮ Baum-Bott residue of flags of holomorphic distributions ⋮ A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces ⋮ Localization of Atiyah classes ⋮ Partial holomorphic connections and extension of foliations ⋮ Open problems in local discrete holomorphic dynamics ⋮ Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields ⋮ A general approach to index theorems for holomorphic maps and foliations

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