Éclatements quasi homogènes

Michèle Pelletier

Annales de la Faculté des sciences de Toulouse : Mathématiques (1995)

  • Volume: 4, Issue: 4, page 879-937
  • ISSN: 0240-2963

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Pelletier, Michèle. "Éclatements quasi homogènes." Annales de la Faculté des sciences de Toulouse : Mathématiques 4.4 (1995): 879-937. <http://eudml.org/doc/73369>.

@article{Pelletier1995,
author = {Pelletier, Michèle},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {plane singularity; desingularization; quasi-homogeneity; Newton polygon},
language = {fre},
number = {4},
pages = {879-937},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Éclatements quasi homogènes},
url = {http://eudml.org/doc/73369},
volume = {4},
year = {1995},
}

TY - JOUR
AU - Pelletier, Michèle
TI - Éclatements quasi homogènes
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1995
PB - UNIVERSITE PAUL SABATIER
VL - 4
IS - 4
SP - 879
EP - 937
LA - fre
KW - plane singularity; desingularization; quasi-homogeneity; Newton polygon
UR - http://eudml.org/doc/73369
ER -

References

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  1. [AGV] Arnold ( V.I.), Goussein-Zade ( S.M.) et Varchenko ( A.N.) .— Singularities of differentiables maps (Tome 1), MIRMoscou (1986). 
  2. [B] Brunella ( M.) .— Topological equivalence of a plane vector field with its principal part defined through Newton polyedra, Preprint (1987). MR1115694
  3. [Br] Bruno ( A.D.) .— Local methods in nonlinear differential equations, Springer Verlag (1989). Zbl0674.34002MR993771
  4. [DR] Denkowska ( Z.) et Roussarie ( R.) .— A method of desingularisation for analytic two-dimensional vector-field families, Bol. Soc. Mat.22, n° 1, pp. 93-126. Zbl0783.32019MR1159387
  5. [D] Dumortier ( F.) .— Singularities of vector fields on the plane, J. of Diff. Equations23, n° 1 (1977), pp. 53-106. Zbl0346.58002MR650816
  6. [M] Martinet ( J.) .— Singularités des fonctions et applications différentiables, Monografias de Matematica da PUC/RJ1. Zbl0389.58005
  7. [MM] Mattei ( J.-F.) et Moussu ( R.) .— Holonomie et intégrales premières, Ann. Scient. Ec. Norm. Sup.4ème Série, 13 (1980), pp. 469-523. Zbl0458.32005MR608290
  8. [T] Takens ( F.) .— Singularities of vector fields, Publ. Math. IHES43 (1974), pp. 47-100, Zbl0279.58009MR339292
  9. [VE] Van Den Essen ( A.) .— Reduction of singularities of the difFerential equation A dy = B dx, L. Notes in Math.712 (1979), pp. 44-60. Zbl0418.34008MR548142

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