Rational Puiseux expansions

Dominique Duval

Compositio Mathematica (1989)

  • Volume: 70, Issue: 2, page 119-154
  • ISSN: 0010-437X

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Duval, Dominique. "Rational Puiseux expansions." Compositio Mathematica 70.2 (1989): 119-154. <http://eudml.org/doc/89958>.

@article{Duval1989,
author = {Duval, Dominique},
journal = {Compositio Mathematica},
keywords = {rational Puiseux expansions of a plane curve; Newton's algorithm for computing rational Puiseux expansions},
language = {eng},
number = {2},
pages = {119-154},
publisher = {Kluwer Academic Publishers},
title = {Rational Puiseux expansions},
url = {http://eudml.org/doc/89958},
volume = {70},
year = {1989},
}

TY - JOUR
AU - Duval, Dominique
TI - Rational Puiseux expansions
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 70
IS - 2
SP - 119
EP - 154
LA - eng
KW - rational Puiseux expansions of a plane curve; Newton's algorithm for computing rational Puiseux expansions
UR - http://eudml.org/doc/89958
ER -

References

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  1. [Ba] V. Baladi: Calculs systématiques pour les singularités de courbes planes, Mémoire de diplôme de mathématicien, Université de Genève, (1986). 
  2. [B1] G.A. Bliss: Algebraic Functions, Amer. Math. Soc. Colloq. Publ. 16 (1933). Zbl0008.21004
  3. [Ch] C. Chevalley: Introduction to the theory of algebraic functions of one variable, AMS Math. Surveys6 (1951). Zbl0045.32301MR42164
  4. [Co] J. Coates: Construction of rational functions on a curve, Proc. Camb. Phil. Soc.68(1970) 105-123. Zbl0215.37302MR258831
  5. [C-R] M. Coste and M.-F. Roy: Thom's lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets, Calsyf6 (1986). Zbl0689.14006
  6. [Da] J.H. Davenport: On the integration of algebraic functions, Lecture Notes in Comput. Sci., Springer102 (1981). Zbl0471.14009MR617377
  7. [D-S-T] J. Davenport, Y. Siret and E. Tournier: Calcul formel, Masson, (1987). 
  8. [D-D] C. Dicrescenzo and D. Duval: Computations with algebraic numbers - the D5 system, submitted to publication, 1987. 
  9. [Du] D. Duval: Une approche géométrique de la factorisation absolue de polynômes, Thèse d'Etat, Université de Grenoble1, (1987), 71-104. 
  10. [Fu] W. Fulton: Algebraic curves, Benjamin (1969). Zbl0181.23901MR313252
  11. [Go] V.D. Goppa: Codes and information, Uspekhi Mat. Nauk39.1 (1984) 77-120, = Russian Math. Surveys39.1 (1984) 87-143. Zbl0578.94011MR733959
  12. [H-M] J.-P. Henry and M. Merle, Paires de Puiseux, résolution de courbes et évaluation paresseuse, Preprint, Ecole Polytechnique, Palaiseau, 1987. 
  13. [K-T] H.T. Kung, J.F. Traub: All algebraic functions can be computed fast, Journal ACM25 (1978) 245-260. Zbl0371.68019MR488306
  14. [Ma] D. Maurer: Der algorithmus von Coates, Dipolomarbeit, Universität des Saarlandes (1981-1982). 
  15. [Ne] I. Newton: La méthode des fluxions et des suites infinies, traduit par M. de Buffon, Librairie Albert Blanchard, Paris (1966). Zbl0138.00604MR199076
  16. [Ph] F. Pham: Singularités des courbes planes: une introduction à la géométrie analytique complexe, Cours de 3e cycle, Paris (1969-70). Zbl0232.14011MR340259
  17. [Pu] V. Puiseux: Recherches sur les fonctions algébriques, J. Math. Pures Appl.15 (1850) 365-480. 
  18. [To] E. Tournier: Solutions formelles d'équations différentielles. Le logiciel de calcul formel DESIR. Etude théorique et réalisation, Thèse d'Etat, Université de Grenoble1 (1987). 
  19. [Tr1] B.M. Trager: Algebraic factoring and rational function integration, SYMSAC'76, ACM Inc. (1976) 219-226. Zbl0498.12005
  20. [Tr2] B.M. Trager: Integration of algebraic functions, Ph.D. Thesis, MIT, (1985). 
  21. [Wa] R.J. Walker: Algebraic curves, Dover Publ. (1950). MR33083

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