Journal title
Journal of the European Mathematical Society
DOI
10.4171/JEMS/15
Issue
4
Volume
6
Last updated
2024-03-22T02:16:28.437+00:00
Page
425-434
Abstract
By a celebrated theorem of Harbater and Pop, the regular inverse Galois problem is solvable over any field containing a large field. Using this and the Mordell conjecture for function fields, we construct the first example of a field K over which the regular inverse Galois problem can be shown to be solvable, but such that K does not contain a large field. The paper is complemented by model-theoretic observations on the diophantine nature of the regular inverse Galois problem.
Symplectic ID
28108
Submitted to ORA
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Publication type
Journal Article
Publication date
01 Jan 2004