Geodesic
Topology of a Holomorphic Vector Field around an Isolated Singularity
Funkcionalʹnyj analiz i ego priloženiâ, Tome 27 (1993) no. 2, pp. 22-31.

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

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X. Gomez-Mont; J. Seade; A. Verjovsky. Topology of a Holomorphic Vector Field around an Isolated Singularity. Funkcionalʹnyj analiz i ego priloženiâ, Tome 27 (1993) no. 2, pp. 22-31. http://geodesic.mathdoc.fr/item/FAA_1993_27_2_a1/

[1] Arnold V. I., “Zamechaniya ob osobennostyakh konechnykh korazmernostei v kompleksnykh dinamicheskikh sistemakh”, Funkts. analiz i ego pril., 3 (1969), 1–5 | MR

[2] Camacho C., Kuiper N., Palis V., “The topology of holomorphic flows with singularity”, Publ. Math. IHES, 48 (1978), 5–38 | DOI | MR | Zbl

[3] Camacho C., Lins A., Sad P., “Topological invariants and equidesingularization for holomorphic vector fields”, J. Diff. Geom., 20 (1984), 143–174 | MR | Zbl

[4] Gomez-Mont X., “Universal families of foliations by curves”, Singularités D'equations Differentielles, Asterisque, 150–151, eds. Cerveau D. and Moussu R., 1987, 109–129 | MR | Zbl

[5] Gomez-Mont X., Seade J., Verjovsky A., The index of a holomorphic flow with an isolated singularity, Preprint (to appear) | MR

[6] Guckenheimer I., “Hartman's theorem for complex flows in the Poincaré domain”, Comp. Math., 24 (1972), 75–82 | MR | Zbl

[7] Lopez de Medrano S., “The space of Siegel leads of a linear vector field”, Holomorphic Dynamics, Lecture notes in Math., 1345, eds. Gomez-Mont X. et al., Springer-Verlag, 1988, 233–245 | DOI | MR

[8] Milnor J., Singular Points of Complex Hypersurfaces, Ann. of Maths. Study, 61, Princeton University Press, 1968 | MR | Zbl

[9] Milnor J., Topology from the Differentiable Viewpoint, 5th edition, 1976., University Press of Virginia | MR

[10] Milnor J., Morse Theory, Ann. of Maths., 51, Princeton University Press, 1963 | MR | Zbl

[11] Sulivan D., “On the intersection ring of compact three manifolds”, Topology, 14 (1975), 275–277 | DOI | MR

[12] Thom R., “Généralization de la théorie de Morse et variété feuilletées”, Ann. Inst. Fourier, Grenoble, 14:1 (1964), 173–190 | DOI | MR | Zbl