Indices of vector fields and 1-forms (Q6608483)

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scientific article; zbMATH DE number 7916318

Language	Label	Description	Also known as
English	Indices of vector fields and 1-forms	scientific article; zbMATH DE number 7916318

Statements

scholarly article

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Indices of vector fields and 1-forms (English)

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Wolfgang Ebeling

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Sabir M. Gusein-Zade

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publication date

20 September 2024

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MaRDI profile type

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The homological index and the De Rham complex on singular varieties

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The Poincaré index and the χ<sub><i>y</i></sub>-characteristic of Hirzebruch

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The Euler obstruction of a function on a determinantal variety and on a curve

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Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures

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INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES

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On equivariant Euler characteristics

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An algebraic formula for the index of a vector field on an isolated complete intersection singularity

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The Euler obstruction and the Chern obstruction

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Generic sections of essentially isolated determinantal singularities

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Euler obstruction and indices of vector fields

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EULER OBSTRUCTION AND DEFECTS OF FUNCTIONS ON SINGULAR VARIETIES

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The Milnor number and deformations of complex curve singularities

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Existence of a singular projective variety with an arbitrary set of characteristic numbers

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The Lê-Greuel formula for functions on analytic spaces

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Euler obstruction of essentially isolated determinantal singularities

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Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function

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Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets

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Lê-Greuel type formula for the Euler obstruction and applications

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Some notes on the Euler obstruction of a function

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On the index of a vector field at an isolated singularity

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On the index of a holomorphic \(1\)-form on an isolated complete intersection singularity.

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On indices of meromorphic 1-forms

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Radial index and Euler obstruction of a 1-form on a singular variety

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Indices of Vector Fields or 1-Forms and Characteristic Numbers

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Quadratic forms for a 1-form on an isolated complete intersection singularity

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On indices of 1-forms on determinantal singularities

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Equivariant indices of vector fields and 1-forms

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An equivariant version of the Euler obstruction

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The index of a 1-form on a real quotient singularity

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An algebraic formula for the index of a ‐form on a real quotient singularity

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HOMOLOGICAL INDEX FOR 1-FORMS AND A MILNOR NUMBER FOR ISOLATED SINGULARITIES

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An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites

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Indices of 1-forms, resultants and Newton polyhedra

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Indices of 1-forms and Newton polyhedra

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Indices of 1-forms, intersection indices, and Newton polyhedra

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On discriminants, Tjurina modifications and the geometry of determinantal singularities

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On the vanishing topology of isolated Cohen-Macaulay codimension 2 singularities

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The Multiplicity Polar Theorem and isolated singularities

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The Multiplicity Polar Theorem, Collections of 1-forms and Chern Numbers

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The local Euler obstruction and topology of the stabilization of associated determinantal varieties

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ON THE INDEX OF VECTOR FIELDS TANGENT TO HYPERSURFACES WITH NON-ISOLATED SINGULARITIES

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The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant

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The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian

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The index of a holomorphic flow with an isolated singularity

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Homological indices of collections of 1‐forms

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Functions on Space Curves

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Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten

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The local Euler obstruction of a function

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Index of a singular point of a gradient vector field

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Index of a singular point of a vector field or of a 1-form on an orbifold

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The universal Euler characteristic of \(V\)-manifolds

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On equivariant indices of 1-forms on varieties

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On the Euler number of an orbifold

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Residue formulas for meromorphic functions on surfaces

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Multiplicity of Functions On Singular Varieties

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Poincaré-Hopf theorems on singular spaces

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Local residues of holomorphic 1-forms on an isolated surface singularity

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On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space

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Real and complex indices of vector fields on complete intersection curves with isolated singularity

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Calculation of Milnor number of isolated singularity of complete intersection

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Residues of holomorphic vector fields relative to singular invariant subvarieties

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On the index of a holomorphic vector field tangent to a singular variety

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Chern classes for singular algebraic varieties

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Simplest singular points of 1-forms invariant with respect to an action of group of order three

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Index of singularities of real vector fields on singular hypersurfaces

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Characteristic cycles and the relative local Euler obstruction

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Milnor Number Equals Tjurina Number for Functions on Space Curves

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The vanishing Euler characteristic of an isolated determinantal singularity

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Erratum to: ``The vanishing Euler characteristic of an isolated determinantal singularity''

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The Milnor number of a function on a space curve germ

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Über die Vielfachheit einer holomorphen Abbildung

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Codimension Two Determinantal Varieties with Isolated Singularities

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A general intersection formula for Lagrangian cycles

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Remarks on Laufer's formula for the Milnor number, Rochlin's signature theorem and the analytic Euler characteristic of compact complex manifolds

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On Milnor’s fibration theorem and its offspring after 50 years

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A residue formula for the index of a holomorphic flow

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AN ADJUNCTION FORMULA FOR LOCAL COMPLETE INTERSECTIONS

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Global Euler obstruction and polar invariants

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Milnor numbers and Euler obstruction

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Indices of Holomorphic Vector Fields Relative to Invariant Curves on Surfaces

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GSV-indices as residues

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Generalized orbifold Euler characteristic of symmetric products and equivariant Morava \(K\)-theory

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Transformation groups and representation theory

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ON THE LOCAL RESIDUE AND THE INTERSECTION FORM ON THE VANISHING COHOMOLOGY

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Caractéristique d'Euler-Poincaré

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A Note on Symmetry of Singularities

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A generalization of Milnor's formula

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Identifiers

zbMATH Open document ID

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10.1007/978-3-031-31925-9_5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6608483

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