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

DOI10.5802/aif.1608zbMath0891.32013OpenAlexW2319874468MaRDI QIDQ1374017

Pavao Mardešić, Xavier Gómez-Mont

Publication date: 1 December 1997

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_5_1523_0

zbMATH Keywords

hypersurface singularitiesindex of a vector fieldrelative Jacobian determinantsingularity of a vector field

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Complex surface and hypersurface singularities (32S25) Theory of singularities and catastrophe theory (58K99) Local complex singularities (32S05) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Quadratic forms for a 1-form on an isolated complete intersection singularity, The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian, On Milnor’s fibration theorem and its offspring after 50 years, Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets, Flags in zero dimensional complete intersection algebras and indices of real vector fields, Remarks on the Topology of Real and Complex Analytic Map-Germs, Milnor’s Fibration Theorem for Real and Complex Singularities, On the topology of real analytic maps

Cites Work

• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian
• The index of a holomorphic flow with an isolated singularity
• Flatness and privilege
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