Puiseux expansions. (French) Zbl 0572.14013

Dwork, Bernard M.

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 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.

Reviewer: W.Lütkebohmert

MSC:

14G20	Local ground fields in algebraic geometry
14H05	Algebraic functions and function fields in algebraic geometry

Keywords:

p-adic convergence of Puiseux expansions of algebraic functions

Citations:

Zbl 0426.12013