Racines approchées, suites génératrices, suffisance des jets

Vincent Cossart; Guillermo Moreno-Socías

Annales de la Faculté des sciences de Toulouse : Mathématiques (2005)

  • Volume: 14, Issue: 3, page 353-394
  • ISSN: 0240-2963

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Cossart, Vincent, and Moreno-Socías, Guillermo. "Racines approchées, suites génératrices, suffisance des jets." Annales de la Faculté des sciences de Toulouse : Mathématiques 14.3 (2005): 353-394. <http://eudml.org/doc/73651>.

@article{Cossart2005,
author = {Cossart, Vincent, Moreno-Socías, Guillermo},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {valuation; complete ideals; plane curve; resolution of singularities},
language = {fre},
number = {3},
pages = {353-394},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Racines approchées, suites génératrices, suffisance des jets},
url = {http://eudml.org/doc/73651},
volume = {14},
year = {2005},
}

TY - JOUR
AU - Cossart, Vincent
AU - Moreno-Socías, Guillermo
TI - Racines approchées, suites génératrices, suffisance des jets
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2005
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 14
IS - 3
SP - 353
EP - 394
LA - fre
KW - valuation; complete ideals; plane curve; resolution of singularities
UR - http://eudml.org/doc/73651
ER -

References

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  1. [Abh88] Abhyankar ( S.S.). - What is the difference between a parabola and a hyperbola?, The Mathematical intelligencer, Vol. 10, No. 4, p. 36-43 (1988). Zbl0698.14061MR966129
  2. [Abh77] Abhyankar ( S.S. ). - Expansion techniques in algebraic geometry , (Notes by Balwant Singh), Tata Institute of Fundamental Research, Bombay (1977). Zbl0818.14001MR542446
  3. [Abh89] Abhyankar ( S.S.). - Irreducibility criterion for germs of analytic functions of two complex variables, Adv. in Math. , Vol. 74, No. 2, p. 190-257 (April 1989). Zbl0683.14001MR997097
  4. [Cam80] Campillo ( A.). — Algebroid curves in positive characteristic , L.N.M.813 ( 1980). Zbl0451.14010
  5. [Cos75] Cossart ( V.). - Sur le polyèdre caractéristique d'une singularité, Bull. Soc. Math. de France103, 13-19 (1975). Zbl0333.32008MR432635
  6. [Cos87] Cossart ( V.). - Polyèdre caractéristique d'une singularité . Thèse. Univ. d'Orsay p. 1-484 (1987). 
  7. [CosMor03] Cossart ( V.), Moreno-Socías ( G.). — Irreducibility criterion : a geometric point of view, dans « Valuation Theory and its Applications », vol. II, Field Institute Comm.33, p. 27-42 (2003). Zbl1092.14501
  8. [Gir83] Giraud ( J.). - Forme normale d'une fonction sur une surface de caractéristique positive, Bull. Soc. Math. de France111, p. 109-124 (1983). Zbl0528.14004MR734215
  9. [GwoPlo95] Gwoźdiewicz ( J.), Płoski ( A.). - On the approximate roots of polynomials, Ann. Polonoci Mathematici, LX.3, p. 199-209 (1995). Zbl0826.13012MR1316488
  10. [Hir70] Hironaka ( H.). - Characteristic polyhedra of singularities , J. Math. Kyoto Univ.10, p. 251-293 (1970). Zbl0159.50502MR225779
  11. [Kuo73] Kuo ( T.C. ). — Generalized Newton-Puiseux theory and Hensel's lemma in C[[x, y]], Can. J. Math. 41, p. 1101-1116 (1973). Zbl0716.13015MR1018453
  12. [Lej73] Lejeune-Jalabert ( M.). - Thèse, Univ. Paris7 (1973). MR379895
  13. [Lip87] Lipman ( J.). - On complete ideals in regular local rings, Algebraic Geometry and Commutative Algebra in honor of M. Nagata , p. 203-231 (1987). Zbl0693.13011MR977761
  14. [Mac97] Mac-Callum ( S. ). — On testing a bivariate polynomial for analytic reducibility, J. Symb. Comp.24, p. 509-535 (1997). Zbl0895.68073MR1484067
  15. [Mor90] Moreno-Socías ( G.). — Lazy resolution of plane curves , Notes informelles de calcul formel, Centre de Mathématiques de l'École polytechnique, Palaiseau (1990). 
  16. [Sam56] Samuel ( P.). — Algébricité de certains points algébroïdes , J. de Math. Pures et Appliquées, tome XXXV, fasc. 1, p. 1-6 (1956). Zbl0074.36702MR75668
  17. [SamZar60] Samuel ( P.) , Zariski ( O.). — Commutative algebra, vol. 2, Van Nostrand (1960). Zbl0121.27801MR120249
  18. [Spi90] Spivakovsky ( M.). — Valuations in function fields of surfaces, Amer. J. of Math., 112, p. 107-156 (1990). Zbl0716.13003MR1037606

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