Math @ Duke

Publications [#9771] of Joshua B. Holden
Papers Published
 Joshua Holden, On the FontaineMazur Conjecture for number fields and an analogue for function fields,
Journal of Number Theory 81 (2000), no. 1, 1647
[MRCMP 1 743 506], [available here]
(last updated on 2000/12/22)
Abstract: The FontaineMazur Conjecture for number fields predicts
that
infinite $\ell$adic analytic groups cannot occur as the
Galois
groups of unramified $\ell$extensions of number fields. We
investigate the analogous question for function fields of
one
variable over finite fields, and then prove some special
cases of
both the number field and function field questions using
ideas
from class field theory, $\ell$adic analytic groups, Lie
algebras, arithmetic algebraic geometry, and Iwasawa theory.


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