Real deformations and complex topology of plane curve singularities

Norbert A'Campo

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 1, page 5-23
  • ISSN: 0240-2963

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A'Campo, Norbert. "Real deformations and complex topology of plane curve singularities." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.1 (1999): 5-23. <http://eudml.org/doc/73482>.

@article{ACampo1999,
author = {A'Campo, Norbert},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {monodromy; knot; link; plane curve singularity; deformation},
language = {eng},
number = {1},
pages = {5-23},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Real deformations and complex topology of plane curve singularities},
url = {http://eudml.org/doc/73482},
volume = {8},
year = {1999},
}

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
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 1
SP - 5
EP - 23
LA - eng
KW - monodromy; knot; link; plane curve singularity; deformation
UR - http://eudml.org/doc/73482
ER -

References

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  1. [AC1] A'CAMPO ( N.) . - Sur la monodromie des singularités isolées d'hypersurfaces complexes, Invent. Math.20 (1973), pp. 147-170. Zbl0264.14002MR338436
  2. [AC2] A'CAMPO ( N.) .— Le Groupe de monodromie du déploiement des singularités isolées de courbes planes I, Math. Ann.213 (1975), pp. 1-32. Zbl0316.14011MR377108
  3. [AC3] A'CAMPO ( N.) . — Le groupe de monodromie du déploiement des singularités isolées de courbes planes II, Actes du Congrès International des Mathématiciens, Vancouver (1974), pp. 395-404. Zbl0352.14011MR435443
  4. [AC4] A'CAMPO ( N.) .- Generic immersions of curves knots, monodromy and gordian number, Publ. Math. I.H.E.S., to appear. Zbl0960.57007MR1384321
  5. [A] Arnold ( V.) .- 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. Zbl0268.53001MR286790
  6. [BK] Balke ( L.) and Kaenders ( R.) .— On certain type of Coxeter-Dynkin diagrams of plane curve singularities, Topology35 (1995), pp. 39-54. Zbl0868.14016MR1367274
  7. [BC1] Bruhat ( F.) and Cartan ( H.) .- Sur la structure des sous-ensembles analytiques réels, C. R. Acad. Sci.Paris244 (1957), pp. 988-990. Zbl0081.17201MR86108
  8. [BC2] Bruhat ( F.) and Cartan ( H.) .- Sur les composantes irréductibles d'un sous-ensemble analytique réel, C. R. Acad. Sci.Paris244 (1957), pp. 1123-1126. Zbl0081.39101MR88528
  9. [G-Z] Gusein-Zade ( S.M.) .— Matrices d'intersections pour certaines singularités de fonctions de 2 variables, Funkcional. Anal. i Prilozen8 (1974), pp. 11-15. Zbl0304.14009MR338437
  10. [L] Lefschetz ( S.) .- L'analysis situs et la géométrie algébrique, Collection de Monographies sur la Théorie des Fonctions, Gauthier-Villars et Cie, Paris (1924). Zbl50.0663.01MR33557JFM50.0663.01
  11. [M] Milnor ( J.) .— Singular Points on Complex Hypersurfaces, Ann. of Math. Studies, Princeton University Press, Princeton, 61 (1968). Zbl0184.48405MR239612
  12. [P] Perron ( B.) . - Preuve d'un théorème de N. A'Campo sur les déformations réelles des singularités algébriques complexes planes, Preprint, Université de Bourgogne, Dijon (1998). 
  13. [PS] Picard ( E.) and Simart ( G.) .— Théorie des fonctions algébriques de deux variables indépendantes, Tome I, Gauthier-Villars et Fils, Paris (1897). JFM28.0327.01
  14. [R1] Rohlin ( V.A.) .- Congruence modulo 16 in Hilbert's sixteenth problem I, Funct. Anal. Appl.6 (1972), pp. 301-306. Zbl0295.14008MR311670
  15. [R2] Rohlin ( V.A.) .- Congruence modulo 16 in Hilbert's sixteenth problem II, Funct. Anal. Appl.7 (1973), pp. 163-164. Zbl0295.14009MR331401
  16. [S1] Scott ( C.A.) .- On the Higher Singularities of Plane Curves, Amer. J. Math.14 (1892), pp. 301-325. Zbl24.0663.01JFM24.0663.01
  17. [S2] Scott ( C.A.) .- The Nature and Effect of Singularities of Plane Algebraic Curves, Amer. J. Math.15 (1893), pp. 221-243. Zbl25.1095.04JFM25.1095.04
  18. [V] Viro ( O.) Private communication, Sapporo (1990). 

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