Henselian implies large

Pages 2183-2195 from Volume 172 (2010), Issue 3 by Florian Pop

Abstract

In this note we show that the quotient field of a domain which is Henselian with respect to a nontrivial ideal is a large field, and give some applications of this fact, using a specialization theorem for ramified covers of the line over (generalized) Krull fields.

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Keywords
, , ,
Mathematical Subject Classification
Primary: , , , ,
DOI
http://doi.org/10.4007/annals.2010.172.2183
MR
2726108
zbMATH
1220.12001
Milestones
Received: 29 December 2007
Revised: 19 April 2009
Accepted: 10 March 2010
Published online: 5 October 2010

Authors

Florian Pop

University of Pennsylvania
Department of Mathematics
209 South 33rd Street
Philadelphia 19104
United States