An algebraic formula for the index of a vector field on a hypersurface with an isolated singularity

Journal of Algebraic Geometry

Volumn 7, Issue 4, 1998, Pages 731-752

  Gómez Mont, Xavier ^a  

^a CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346123423     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Ch. Bonatti and X. Gómez-Mont, The index of a holomorphic vector field on a singular variety I, Asterisque 222 (1994) 9-35.
2. A. Douady, Flatness and Privilege, L'enseignement Mathématique II 14 (1968), 47-74.
3. D. Eisenbud, Commutative Algebra. With a View Toward Algebraic Geometry, Graduate Texts in Mathematics 150, Springer-Verlag, New York, 1995.
4. X. Gómez-Mont and G. Kempf, A Law of Conservation of Number for Local Euler Characteristics, preprint.
5. X. Gómez-Mont and P. Mardesic, The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant, Annals Inst. Fourier 47, No. 5 (1997), to appear.
6. X. Gómez-Mont and P. Mardesic, The index of a vector field tangent to an odd dimensional hypersurface and the signature of the relative Hessian, to appear.
7. X. Gómez-Mont, J. Seade, and A. Verjovsky, The index of a holomorphic flow with an isolated singularity, Math. Ann. 291 (1991), 737-751.
8. Ph. Griffiths and J. Harris, Principles of Algebraic Geometry, J. Wiley and Sons, New York, 1978.
9. D. Lehman, M. Soares, and T. Suwa, On the index of a holomorphic vector field tangent to a singular variety, Bol. Soc. Bras. Mat. 26 (1995) 183-199.
10. J. Milnor, Topology from the differentiable viewpoint, Virginia University Press, 1965.
11. J. Milnor, Singular points of Complex Hypersurfaces, Princeton University Press, 1968.
12. J. Seade and T. Suwa, A Residue Formula for the Index of a Holomorphic Flow, Math. Ann. 304 (1996) 621-634.