Index of a Vector Field Tangent to an Odd-Dimensional Hypersurface and the Signature of the Relative Hessian
Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 1, pp. 1-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1999_33_1_a0,
     author = {X. Gomez-Mont and P. Marde\v{s}ic},
     title = {Index of a {Vector} {Field} {Tangent} to an {Odd-Dimensional} {Hypersurface} and the {Signature} of the {Relative} {Hessian}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {1--13},
     publisher = {mathdoc},
     volume = {33},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a0/}
}
TY  - JOUR
AU  - X. Gomez-Mont
AU  - P. Mardešic
TI  - Index of a Vector Field Tangent to an Odd-Dimensional Hypersurface and the Signature of the Relative Hessian
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1999
SP  - 1
EP  - 13
VL  - 33
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a0/
LA  - ru
ID  - FAA_1999_33_1_a0
ER  - 
%0 Journal Article
%A X. Gomez-Mont
%A P. Mardešic
%T Index of a Vector Field Tangent to an Odd-Dimensional Hypersurface and the Signature of the Relative Hessian
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1999
%P 1-13
%V 33
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a0/
%G ru
%F FAA_1999_33_1_a0
X. Gomez-Mont; P. Mardešic. Index of a Vector Field Tangent to an Odd-Dimensional Hypersurface and the Signature of the Relative Hessian. Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 1, pp. 1-13. http://geodesic.mathdoc.fr/item/FAA_1999_33_1_a0/

[1] Arnold V. I., “Indeks osoboi tochki vektornogo polya, neravenstva Petrovskogo–Oleinik i smeshannye struktury Khodzha”, Funkts. analiz i ego pril., 12:1 (1978), 1–14 | MR

[2] Arnold V. I., Varchenko A. N., Gusein-Zade S. M., Osobennosti differentsiruemykh otobrazhenii, t. I, Nauka, M., 1982 | MR

[3] Bonatti Ch., Gómez-Mont X., “The index of a holomorphic vector field on a singular variety I”, Asterisque, 222, 1994, 9–35 | MR | Zbl

[4] Ebeling W., Gusein-Zade S. M., On the index of a vector field at an isolated singularity, Preprint | MR

[5] Eisenbud D., Levine H., “An algebraic formula for the degree of a $C^\infty$ map germ”, Ann. of Math., 106 (1977), 19–38 | DOI | MR

[6] Gómez-Mont X., 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 | MR

[7] Gómez-Mont X., Mardešić P., “The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant”, Ann. Inst. Fourier (Grenoble), 47:5 (1997) | DOI | MR | Zbl

[8] Gómez-Mont X., Seade J., Verjovsky A., “The index of a holomorphic flow with an isolated singularity”, Math. Ann., 291 (1991), 737–751 | DOI | MR

[9] Grauert H., Remmert H., Coherent analytic sheaves, Grundlehren der Mathematischen Wissenschaften, 265, Springer-Verlag, Berlin, 1984 | DOI | MR | Zbl

[10] Khimshiashvili G. N., “O lokalnoi stepeni gladkogo otobrazheniya”, Soobsch. AN GruzSSR, 85:2 (1977), 309–311 | MR