Vector fields on singular varieties

DOI10.1007/978-3-642-05205-7zbMath1189.32001OpenAlexW601139038MaRDI QIDQ1037613

Tatsuo Suwa, Jose A. Seade, Jean-Paul Brasselet

Publication date: 16 November 2009

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-05205-7

zbMATH Keywords

manifoldChern classvector fieldEuler classMilnor numberobstruction theoryEuler-Poincaré characteristicMilnor classsingular foliationPoincaré-Hopf indexChern-Weil theoryThom classsingular varietyhomological indexBaum-Bott residueCamacho-Sad indexFulton-Johnson classGrothendieck residueGSV indexMacPherson classMather classNash bundleSchwartz indexSchwartz-MacPherson classvirtual index

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Singularities of surfaces or higher-dimensional varieties (14J17) 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 vector fields, topological aspects (58K45) Singularities of holomorphic vector fields and foliations (32S65) Topological invariants on manifolds (58K65) Local complex singularities (32S05)

Related Items (33)

Characteristic Classes ⋮ Milnor Number and Chern Classes for Singular Varieties: An Introduction ⋮ Residues and Hyperfunctions ⋮ Baum-Bott indices for curves of singularities ⋮ An equivariant version of the Euler obstruction ⋮ Some notes on the Euler obstruction of a function ⋮ Residues for flags of holomorphic foliations ⋮ On the Milnor number of non‐isolated singularities of holomorphic foliations and its topological invariance ⋮ Magnetic surface topology in decaying plasma knots ⋮ Localization of Bott‐Chern classes and Hermitian residues ⋮ Representation of relative sheaf cohomology ⋮ GSV-index for holomorphic Pfaff systems ⋮ Localization of Atiyah classes ⋮ Characteristic cycles and the relative local Euler obstruction ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Residue formulas for logarithmic foliations and applications ⋮ Polynomial differential systems in \(\mathbb R^3\) having invariant weighted homogeneous surfaces ⋮ Functions and vector fields on \(C(\mathbb{CP}^N)\)-singular manifolds ⋮ Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function ⋮ Vanishing zones and the topology of non-isolated singularities ⋮ Positivity of Chern classes of Schubert cells and varieties ⋮ Lê cycles and Milnor classes ⋮ The double point formula with isolated singularities and canonical embeddings ⋮ Brasselet number and Newton polygons ⋮ An effective method for computing Grothendieck point residue mappings ⋮ On Gauss-Bonnet and Poincar\'e-Hopf type theorems for complex $\partial$-manifolds ⋮ Real analytic vector fields with first integral and separatrices ⋮ Stratification Theory ⋮ Remarks on the Topology of Real and Complex Analytic Map-Germs ⋮ Indices of collections of equivariant 1-forms and characteristic numbers ⋮ Equivariant indices of vector fields and 1-forms ⋮ On the topology of real analytic maps ⋮ GSV-indices as residues

This page was built for publication: Vector fields on singular varieties