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On Saturated Distinguished Chains over a Local Field

โœ Scribed by Kaori Ota


Book ID
102604595
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
257 KB
Volume
79
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


For a separable element : over a local field K, we consider a sequence (:, : 1 , ..., : n ) of elements such that : i is of minimal degree over K with vร„ (:

and that : n belongs to K, where : 0 =: and vร„ is the unique valuation on the algebraic closure of K with vร„ (K _ )=Z. Such a sequence is called a saturated distinguished chain for : over K. We study how these chains are determined from : and see that these chains are closely related to the ramification of the field K(:).


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