Sur le comportement des polaires associées aux germes de courbes planes

Le Dung Trang; Françoise Michel; Claude Weber

Compositio Mathematica (1989)

  • Volume: 72, Issue: 1, page 87-113
  • ISSN: 0010-437X

How to cite

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Trang, Le Dung, Michel, Françoise, and Weber, Claude. "Sur le comportement des polaires associées aux germes de courbes planes." Compositio Mathematica 72.1 (1989): 87-113. <http://eudml.org/doc/89984>.

@article{Trang1989,
author = {Trang, Le Dung, Michel, Françoise, Weber, Claude},
journal = {Compositio Mathematica},
keywords = {plane curve germs; polar curve; resolution of singularities},
language = {fre},
number = {1},
pages = {87-113},
publisher = {Kluwer Academic Publishers},
title = {Sur le comportement des polaires associées aux germes de courbes planes},
url = {http://eudml.org/doc/89984},
volume = {72},
year = {1989},
}

TY - JOUR
AU - Trang, Le Dung
AU - Michel, Françoise
AU - Weber, Claude
TI - Sur le comportement des polaires associées aux germes de courbes planes
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 1
SP - 87
EP - 113
LA - fre
KW - plane curve germs; polar curve; resolution of singularities
UR - http://eudml.org/doc/89984
ER -

References

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  1. [B.K.] E. Brieskorn et H. Knörrer, Ebene algebraische Kurven. Bierkhäuser (1981). Zbl0508.14018MR646612
  2. [Ca.1] E. Casas, On the singularities of polar curves. Manuscripta Math.43(1983). 167-190. Zbl0526.14015MR707043
  3. [Ca.2] E. Casas, Infinitely near imposed singularities and singularities of polar curves. Preprint Barcelona (1986) 47 pp. 
  4. [De.] P. Deligne, Calculs avec le diagramme d'Enriques. Lettre à Le Dung Trang (1971). 
  5. [Du.] J.-L. Dupeyrat, Courbes polaires de courbes à branches lisses. Thèse 3e cycle Paris VII (1986) 130 pp. 
  6. [Hi.] H. Hironaka, Introduction to the theory of infnitely near singular points. Memorias del Instituto Jorge Juan n° 28Madrid (1974). Zbl0366.32007MR399505
  7. [Le 1] D.T. Le, Sur un critère d'équisingularité. CRAS272(1971) Série A pp. 138-140. Zbl0209.24402MR273649
  8. [Le 2] D.T. Le, La monodromie n'a pas de points fixes. J. Fac. Sc. Univ. Tokyo22(1975) 409-427. Zbl0355.32012MR401756
  9. [Lej.] M. Lejeune, Sur l'équivalence des singularités des courbes algébroïdes planes. Coefficients de Newton. Thèse. 
  10. [L.M.W.] D.T. Le, F. Michel et C. Weber, Courbes polaires et topologie des courbes planes. Preprint Genève (1987) 70 pp. A paraitre. Zbl0748.32018
  11. [M.] F. Michel, Courbes polaires pour les singularités du type arbre de Noël. Preprint Genève (1988). 
  12. [M.W.] F. Michel et C. Weber, Topologie des germes de courbes planes à plusieurs branches. Preprint Genève (1985) 300 pp. 
  13. [Mi.] J. Milnor, Singular Points of Complex Hypersurfaces. P. U.P. Annals of Math. Studies61 (1968). Zbl0184.48405MR239612
  14. [Re.] J.E. Reeve, A summary of results in the topological classification of plane algebroid singularities. Rend. Sem. Math. Torino (1954-1955) 159-187. Zbl0067.12904MR96663
  15. [Te.] B. Teissier, Variétés polaires I. Invariants polaires des singularités d'hypersurfaces. Invent. Math.40(1977) 267-292. Zbl0446.32002MR470246
  16. [Sch.] H. Schubert, Uber eine numerische Knoteninvariante. Math. Zeit.61(1954) 254-288. Zbl0058.17403MR72483
  17. [Se.] B. Segre, Sullo sciaglimento delle singularità delle varietà algebriche. Annali di Mathematica33(1952) 5-48. Zbl0046.38901MR52833
  18. [Zar.] O. Zariski, General theory of saturation and of saturated rings. II. Saturated local rings of dimension 1. Amer. Jour. Math.93(1971) 872-964. Zbl0228.13007MR299607

Citations in EuDML Documents

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  1. Pierrette Cassou-Noguès, Ha Huy Vui, Sur le nombre de Łojasiewicz à l'infini d'un polynôme
  2. Félix Delgado de la Mata, A factorization theorem for the polar of a curve with two branches
  3. Pierrette Cassou-Nogues, Sur la généralisation d'un théorème de Kouchnirenko
  4. Nuria Corral, Sur la topologie des courbes polaires de certains feuilletages singuliers
  5. Alejandro Melle-Hernández, On polar invariants of hypersurface singularities
  6. Pedro D. González Pérez, Toric embedded resolutions of quasi-ordinary hypersurface singularities

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