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ID 49096
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Author
Haran, Dan
Jarden, Moshe
Pop, Florian
Abstract
The block approximation theorem is an extensive general- ization of both the well known weak approximation theorem from valu- ation theory and the density property of global fields in their henseliza- tions. It guarantees the existence of rational points of smooth affine varieties that solve approximation problems of local-global type (see e.g. [HJP07]). The theorem holds for pseudo real closed fields, by [FHV94]. In this paper we prove the block approximation for pseudo-F- closed fields K, where F is an ´etale compact family of valuations of K with bounded residue fields (Theorem 4.1). This includes in particular the case of pseudo p-adically closed fields and generalizations of these like the ones considered in [HJP05].
Published Date
2013-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume55
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
53
End Page
85
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
Copyright Holders
Copyright©2013 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol55/iss1/2
JaLCDOI