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On the geometry of field extensions

✍ Scribed by Hans Havlicek

Publisher: Springer
Year: 1993
Tongue: English
Weight: 36 KB
Volume: 45
Category: Article
ISSN: 0001-9054
DOI: 10.1007/bf01844438

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## Abstract In this paper we study the Kummer extensions __K__ ′ of a power series field __K__ = __k__ ((__X__~1~, …, __X~r~__)), where __k__ is an algebraically closed field of arbitrary characteristic, with special emphasis in the case where __K__ ′ is generated by a Puiseux power series. (© 2008