Math @ Duke

Publications [#9772] of Joshua B. Holden
Papers Submitted
 Joshua Brandon Holden, A quantitative FontaineMazur analogue for function fields,
Proceedings of the American Mathematical Society
, submitted 2000 [math.NT/0010284]
(last updated on 2000/12/22)
Abstract: Let k be a function field over a finite field F of
characteristic p and
order q, and l a prime not equal to p. Let K = k F_{l^\
infty} be obtained
from k by taking the maximal lextension of the constant
field. If M is an
unramified ladic analytic lextension of k, and M does not
contain K, must
M be a finite extension of k? The answer is, in general,
``no'', but for
some k the answer is ``yes''. We attempt to estimate the
proportion of k
with each answer.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

