Sur la linéarité de la fonction de Artin

Guillaume Rond[1]

  • [1] University of Toronto Department of Mathematics Toronto, Ontario M5S 2E4 (Canada)

Annales scientifiques de l'École Normale Supérieure (2005)

  • Volume: 38, Issue: 6, page 979-988
  • ISSN: 0012-9593

How to cite

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Rond, Guillaume. "Sur la linéarité de la fonction de Artin." Annales scientifiques de l'École Normale Supérieure 38.6 (2005): 979-988. <http://eudml.org/doc/82680>.

@article{Rond2005,
affiliation = {University of Toronto Department of Mathematics Toronto, Ontario M5S 2E4 (Canada)},
author = {Rond, Guillaume},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Artin function; Artin approximation},
language = {fre},
number = {6},
pages = {979-988},
publisher = {Elsevier},
title = {Sur la linéarité de la fonction de Artin},
url = {http://eudml.org/doc/82680},
volume = {38},
year = {2005},
}

TY - JOUR
AU - Rond, Guillaume
TI - Sur la linéarité de la fonction de Artin
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2005
PB - Elsevier
VL - 38
IS - 6
SP - 979
EP - 988
LA - fre
KW - Artin function; Artin approximation
UR - http://eudml.org/doc/82680
ER -

References

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  1. [1] Artin M., Algebraic approximation of structures over complete local rings, Publ. Math. IHÉS36 (1969) 23-58. Zbl0181.48802MR268188
  2. [2] Delfino D., Swanson I., Integral closure of ideals in excellent local rings, J. Algebra187 (1997) 422-445. Zbl0952.13002MR1430992
  3. [3] Delon F., Indécidabilité de la théorie des anneaux de séries formelles à plusieurs indéterminées, Fund. Math.112 (1981) 215-229. Zbl0515.12020MR628071
  4. [4] Denef J., Loeser F., Germs of arcs on singular algebraic varieties and motivic integration, Invent. Math.135 (1999) 201-232. Zbl0928.14004MR1664700
  5. [5] Greenberg M.J., Rational points in henselian discrete valuation rings, Publ. Math. IHÉS31 (1966) 59-64. Zbl0146.42201MR207700
  6. [6] Hickel M., Fonction de Artin et germes de courbes tracées sur un germe d'espace analytique, Amer. J. Math.115 (1993) 1299-1334. Zbl0804.32006MR1254735
  7. [7] Hickel M., Calcul de la fonction d'Artin–Greenberg d'une branche plane, Pacific J. Math.213 (2004) 37-47. Zbl1054.14036MR2040249
  8. [8] Izumi S., A measure of integrity for local analytic algebras, Publ. RIMS Kyoto Univ.21 (1985) 719-736. Zbl0587.32016MR817161
  9. [9] Lejeune-Jalabert M., Courbes tracées sur un germe d'hypersurface, Amer. J. Math.112 (1990). Zbl0743.14002MR1064990
  10. [10] Pas J., Uniform p-adic cell decomposition and local zeta functions, J. reine angew. Math.399 (1989) 137-172. Zbl0666.12014MR1004136
  11. [11] Presburger M., Über die Vollständigkeit eines gewissen Systems des Arithmetik ganzer Zahlen, im welchem die Addition als einzige Operation hervortritt, Comptes-Rendus du Premier Congrès des Mathématiciens des Pays Slaves395 (1927) 92-101. JFM56.0825.04
  12. [12] Rond G., Lemme d'Artin–Rees, théorème d'Izumi et fonctions de Artin, J. Algebra (2006), à paraître. Zbl1099.13017MR2225775
  13. [13] Spivakovsky M., Valuations, the linear Artin approximation theorem and convergence of formal functions, in: Proceedings of the II SBWAG, Alxebra, vol. 54, 1990, pp. 237-254. Zbl0747.13004MR1061176
  14. [14] Wavrik J.J., A theorem on solutions of analytic equations with applications to deformations of complex structures, Math. Ann.216 (1975) 127-142. Zbl0303.32018MR387649

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