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Zbl 0572.14013
Dwork, Bernard M.
Puiseux expansions.
(French)
[J] Groupe Étude Anal. Ultramétrique, 10e Année 1982/83, No.2, Exp. No.14, 6 p. (1984).

The object of this article is to discuss the p-adic convergence of Puiseux expansions of algebraic functions. In special cases, this problem has been settled by the author and {\it P. Robba} in Trans. Am. Math. Soc. 256, 199-213 (1979; Zbl 0426.12013). The author gives a review of this work and discusses the question of lifting Puiseux expansions in characteristic p.
[W.Lütkebohmert]
MSC 2000:
*14G20 p-adic ground fields
14H05 Algebraic functions

Keywords: p-adic convergence of Puiseux expansions of algebraic functions

Citations: Zbl 0426.12013

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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