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Metric invariants over Henselian valued fields

✍ Scribed by Angel Popescu; Nicolae Popescu; Alexandru Zaharescu

Book ID
104140814
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
142 KB
Volume
266
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we generalize the notion of a saturated distinguished sequence associated to a separable element a ∈ K, over a local field K [J. Number Theory 79 (1999) 217; J. Number Theory 52 (1995) 98] to the case of an arbitrary Henselian field (K, v). We use these distinguished sequences to study various arithmetic and metric invariants of a, generalizing some results from [

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This article is a logical continuation of the Henri Lombardi and Franz-Viktor Kuhlmann article [9]. We address some classical points of the theory of valued fields with an elementary and constructive point of view. We deal with Krull valuations, and not simply discrete valuations. First of all, we s