Math @ Duke
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Publications [#9772] of Joshua B. Holden
Papers Submitted
- Joshua Brandon Holden, A quantitative Fontaine-Mazur 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 l-extension of the constant
field. If M is an
unramified l-adic analytic l-extension 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.
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