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Power Series and p-Adic Algebraic Closures

โœ Scribed by Kiran S Kedlaya

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
181 KB
Volume
89
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

We describe a presentation of the completion of the algebraic closure of the 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 analogous construction of the algebraic closure of a field of power series in positive characteristic.

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