Power series and p-adic algebraic closures

Authors
Kedlaya, KS
Citation
Ks. Kedlaya, Power series and p-adic algebraic closures, J NUMBER TH, 89(2), 2001, pp. 324-339
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X → ACNP
Volume
89
Issue
2
Year of publication
2001
Pages
324 - 339
Database
ISI
SICI code
0022-314X(200108)89:2<324:PSAPAC>2.0.ZU;2-I
Abstract
We describe a presentation of the completion of the algebraic closure of th e ring of Witt vectors of an algebraically closed field of characteristic p > 0. The construction uses "generalized power series in p" as constructed by Poonen, based on an example of Lampert, and also makes use of an analogo us construction of the algebraic closure of a field of power series in posi tive characteristic. (C) 2001 Academic Press.