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Kuykian fields
-
Arno Fehm
,
Moshe Jarden
Published/Copyright:
September 1, 2012
Abstract.
The Kuykian conjecture for a Hilbertian field K says that if 
is
an abelian variety, then every intermediate field of
is Hilbertian.
We prove the Kuykian conjecture in the following cases:
(a) K is finitely generated (over its prime field).
(b) 
for almost all 
,
where F is a finitely generated field. (c) 
, where F is the quotient field of a
complete local domain of dimension at least 2.
Received: 2010-04-11
Revised: 2010-10-21
Published Online: 2012-09-01
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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- Conjugacy in normal subgroups of hyperbolic groups
- Surgery obstructions on closed manifolds and the inertia subgroup
- Higher integrability in parabolic obstacle problems
- Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
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Articles in the same Issue
- Masthead
- Conjugacy in normal subgroups of hyperbolic groups
- Surgery obstructions on closed manifolds and the inertia subgroup
- Higher integrability in parabolic obstacle problems
- Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
- Kuykian fields
- Multivariable manifold calculus of functors
- Weighted geometric means
- Kaplansky classes, finite character and ℵ1-projectivity
