@article{AFST_1999_6_8_1_5_0, author = {A'Campo, Norbert}, title = {Real deformations and complex topology of plane curve singularities}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {5--23}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 8}, number = {1}, year = {1999}, zbl = {0962.32025}, mrnumber = {1721511}, language = {en}, url = {http://archive.numdam.org/item/AFST_1999_6_8_1_5_0/} }
TY - JOUR AU - A'Campo, Norbert TI - Real deformations and complex topology of plane curve singularities JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1999 DA - 1999/// SP - 5 EP - 23 VL - Ser. 6, 8 IS - 1 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - http://archive.numdam.org/item/AFST_1999_6_8_1_5_0/ UR - https://zbmath.org/?q=an%3A0962.32025 UR - https://www.ams.org/mathscinet-getitem?mr=1721511 LA - en ID - AFST_1999_6_8_1_5_0 ER -
A'Campo, Norbert. Real deformations and complex topology of plane curve singularities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 1, pp. 5-23. http://archive.numdam.org/item/AFST_1999_6_8_1_5_0/
[AC1] Sur la monodromie des singularités isolées d'hypersurfaces complexes, Invent. Math. 20 (1973), pp. 147-170. | MR 338436 | Zbl 0264.14002
) . -[AC2] Le Groupe de monodromie du déploiement des singularités isolées de courbes planes I, Math. Ann. 213 (1975), pp. 1-32. | MR 377108 | Zbl 0316.14011
) .-[AC3] Le groupe de monodromie du déploiement des singularités isolées de courbes planes II, Actes du Congrès International des Mathématiciens, Vancouver (1974), pp. 395-404. | MR 435443 | Zbl 0352.14011
) . -[AC4] Generic immersions of curves knots, monodromy and gordian number, Publ. Math. I.H.E.S., to appear. | Numdam | MR 1384321 | Zbl 0960.57007
) .-[A] On the arrangement of the ovals of real plane curves, involutions of 4-dimensional smooth manifolds, and the arithmetic of integral quadratic forms, Funct. Anal. Appl. 5 (1971), pp. 1-9. | MR 286790 | Zbl 0268.53001
) .-[BK] On certain type of Coxeter-Dynkin diagrams of plane curve singularities, Topology 35 (1995), pp. 39-54. | MR 1367274 | Zbl 0868.14016
) and ) .-[BC1] Sur la structure des sous-ensembles analytiques réels, C. R. Acad. Sci. Paris 244 (1957), pp. 988-990. | MR 86108 | Zbl 0081.17201
) and ) .-[BC2] Sur les composantes irréductibles d'un sous-ensemble analytique réel, C. R. Acad. Sci. Paris 244 (1957), pp. 1123-1126. | MR 88528 | Zbl 0081.39101
) and ) .-[G-Z] Matrices d'intersections pour certaines singularités de fonctions de 2 variables, Funkcional. Anal. i Prilozen 8 (1974), pp. 11-15. | MR 338437 | Zbl 0304.14009
) .-[L] L'analysis situs et la géométrie algébrique, Collection de Monographies sur la Théorie des Fonctions, Gauthier-Villars et Cie, Paris (1924). | JFM 50.0663.01 | MR 33557
) .-[M] Singular Points on Complex Hypersurfaces, Ann. of Math. Studies, Princeton University Press, Princeton, 61 (1968). | MR 239612 | Zbl 0184.48405
) .-[P] Preuve d'un théorème de N. A'Campo sur les déformations réelles des singularités algébriques complexes planes, Preprint, Université de Bourgogne, Dijon (1998).
) . -[PS] Théorie des fonctions algébriques de deux variables indépendantes, Tome I, Gauthier-Villars et Fils, Paris (1897). | JFM 28.0327.01
) and ) .-[R1] Congruence modulo 16 in Hilbert's sixteenth problem I, Funct. Anal. Appl. 6 (1972), pp. 301-306. | MR 311670 | Zbl 0295.14008
) .-[R2] Congruence modulo 16 in Hilbert's sixteenth problem II, Funct. Anal. Appl. 7 (1973), pp. 163-164. | MR 331401 | Zbl 0295.14009
) .-[S1] On the Higher Singularities of Plane Curves, Amer. J. Math. 14 (1892), pp. 301-325. | JFM 24.0663.01
) .-[S2] The Nature and Effect of Singularities of Plane Algebraic Curves, Amer. J. Math. 15 (1893), pp. 221-243. | JFM 25.1095.04
) .-[V] Private communication, Sapporo (1990).
)