GENERALIZATION OF VARIATIONS AND BAUM–BOTT RESIDUES FOR HOLOMORPHIC FOLIATIONS ON SINGULAR VARIETIES

DOI10.1142/S0129167X99000136zbMath1039.32041MaRDI QIDQ2728460

Daniel Lehmann, Tatsuo Suwa

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65)

Related Items

Chern classes for analytic sets. (Classes de Chern des ensembles analytiques) ⋮ Residues and Hyperfunctions ⋮ Partial holomorphic connections and extension of foliations ⋮ On the residues of Baum-Bott ⋮ Localization of Baum-Bott residues, generalized curves and \(K\)-theory. I. Foliations in \(\mathbb{C}^2\) ⋮ A general approach to index theorems for holomorphic maps and foliations ⋮ Chern classes of analytic sets

Cites Work

• Singularities of holomorphic foliations
• Résidus des sous-variétés invariantes d'un feuilletage singulier. (Residues of invariant submanifolds of singular foliations)
• Critical points of functions on analytic varieties
• Analytic cycles on complex manifolds
• Invariant varieties through singularities of holomorphic vector fields
• About singular holomorphic foliations of codimension 1
• Independent variation of secondary classes
• On the structure of the singular set of a complex analytic foliation
• First variation of holomorphic forms and some applications
• Residues of higher order and holomorphic vector fields
• Residues of holomorphic vector fields relative to singular invariant subvarieties
• A residue formula for the index of a holomorphic flow
• The index of a holomorphic flow with an isolated singularity
• A residue formula for holomorphic vector-fields
• WEAKLY HOLOMORPHIC FUNCTIONS ON COMPLETE INTERSECTIONS, AND THEIR HOLOMORPHIC EXTENSION
• Des derivees de residus et une identite remarquable
• On the index of a holomorphic vector field tangent to a singular variety