Journal of the Ramanujan Mathematical Society
Volume 31, Issue 2, June 2016 pp. 195–214.
The Langlands parameter of a simple supercuspidal representation: odd orthogonal groups
Authors:
Moshe Adrian
Author institution:Department of Mathematics, Queens College, CUNY, Queens, NY 11367-1597
Summary:
A field K is ample if for every geometrically integral K-variety V
with a smooth K-point, V(K) is Zariski dense in V.
A field K is Galois-potent if every geometrically integral K-variety
has a closed point whose residue field is Galois over K.
We prove that every ample field is Galois-potent.
But we construct also non-ample Galois-potent fields;
in fact, every field has a regular extension with these properties.
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