scientific article

zbMath0910.32035MaRDI QIDQ3843136

Tatsuo Suwa

Publication date: 25 August 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

manifoldChern classvector fieldfoliationEuler classvector bundleEuler-Poincaré characteristicconnectiondifferential formcharacteristic classsingular varietyvirtual indexČech-de Rham cohomologyindices of cross-sections

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Characteristic classes and numbers in differential topology (57R20) Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30)

Related Items

A note on M. Soares' bounds ⋮ Localized intersection of currents and the Lefschetz coincidence point theorem ⋮ Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations ⋮ Extendable cohomologies for complex analytic varieties ⋮ Meromorphic vector fields and elliptic fibrations ⋮ Holomorphic foliations by curves on \(\mathbb P^3\) with non-isolated singularities ⋮ Characteristic Classes ⋮ Residues and Hyperfunctions ⋮ Baum-Bott residue of flags of holomorphic distributions ⋮ Hypersurfaces invariant by Pfaff systems ⋮ RESIDUES FOR SINGULAR PAIRS AND DYNAMICS OF BIHOLOMORPHIC MAPS OF SINGULAR SURFACES ⋮ Baum-Bott indices for curves of singularities ⋮ Real logarithmic models for real analytic foliations in~the~plane ⋮ Generalization of Schläfli formula to the volume of a spherically faced simplex ⋮ Thom form in equivariant Čech–de Rham theory ⋮ Residues for flags of holomorphic foliations ⋮ Relative Čech-Dolbeault homology and applications ⋮ Foliated affine and projective structures ⋮ Holomorphic foliations tangent to Levi-flat subsets ⋮ On special holomorphic distributions and residues ⋮ Localization of Bott‐Chern classes and Hermitian residues ⋮ Sato hyperfunctions via relative Dolbeault cohomology ⋮ Representation of relative sheaf cohomology ⋮ A family of dicritical foliations with one singularity ⋮ Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms ⋮ Partial holomorphic connections and extension of foliations ⋮ On the residues of Baum-Bott ⋮ Codimension one foliations on complex tori ⋮ Logarithmic models for non-dicritical foliations ⋮ Simple Darboux points of polynomial planar vector fields. ⋮ Algebraic solutions of holomorphic foliations: an algorithmic approach ⋮ Residue formulas for logarithmic foliations and applications ⋮ Algebraic solutions of plane vector fields ⋮ Flags of holomorphic foliations ⋮ Fibrations of genus two on complex surfaces ⋮ ON THE SINGULAR SCHEME OF CODIMENSION ONE HOLOMORPHIC FOLIATIONS IN ℙ³ ⋮ Exceptional singularities of codimension one holomorphic foliations ⋮ On the local structure of holomorphic foliation singularities ⋮ Milnor classes of local complete intersections ⋮ Local and global coincidence homology classes ⋮ ON BOUNDEDNESS OF FAMILIES OF HOLOMORPHIC FOLIATIONS ⋮ Residues of codimension one singular holomorphic distributions ⋮ Frobenius theorem for foliations on singular varieties ⋮ A general approach to index theorems for holomorphic maps and foliations ⋮ Spectra of quadratic vector fields on $\mathbb{C}^2$: The missing relation ⋮ On Gauss-Bonnet and Poincar\'e-Hopf type theorems for complex $\partial$-manifolds ⋮ Multiplicity of Functions On Singular Varieties ⋮ A Fatou type theorem for complex map germs ⋮ Polynomial bounds for automorphisms groups of foliations ⋮ Chern classes of analytic sets ⋮ Differentiable invariants of holomorphic foliations ⋮ Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution

This page was built for publication: