Index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative hessian

Functional Analysis and its Applications

Volumn 33, Issue 1, 1999, Pages 1-10

  Gomez Mont X ^a   Mardesic P ^b  

^a CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24244452337     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02465138     Document Type: Article

References (10)

1. V. Arnold, "The index of a singular point of a vector field, the Petrovskii-Oleinik inequality and mixed Hodge structures," Funkts. Anal. Prilozhen., 12, No. 1, 1-14 (1978).
2. V. Arnold, S. Gusein-Zade, and A. Varchenko, Singularities of Diflerentiable Maps, I, Birkhauser, 1985.
3. Ch. Bonatti and X. Gómez-Mont, "The index of a holomorphic vector field on a singular variety, I," Asterisque, 222, 9-35 (1994).
4. W. Ebeling and S. M. Gusein-Zade, On the Index of a Vector Field at an Isolated Singularity, Preprint.
5. ∞ map germ," Ann. Math., 106, 19-38 (1977).
6. X. Gómez-Mont, An algebraic formula for the index of a vector field on a hypersurface with an isolated singularity, Preprint Comunicaciones del CIMAT I-96-27, 1996, pp. 1-23.
7. X. Gómez-Mont and P. Mardešić, "The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant," Ann. Inst. Fourier (Grenoble), 47, No. 5 (1997).
8. X. Gómez-Mont J. Seade, and A. Verjovsky, "The index of a holomorphic flow with an isolated singularity," Math. Ann., 291, 737-751 (1991).
9. H. Grauert and H. Remmert, Coherent Analytic Sheaves, Grundlehren 265, Springer-Verlag, 1984.
10. G. N. Khimshiashvili, "On the local degree of a smooth map," Trudy Tbilisi Math. Inst., 105-124 (1980).