Induction and restriction of (\phi,\Gamma)modules
Abstract
Let L be a nonarchimedean local field of characteristic 0. We present a variant of the theory of (\phi,\Gamma)modules associated with LubinTate groups, developed by Kisin and Ren [KiRe], in which we replace the LubinTate tower by the maximal abelian extension \Gamma = Gal(L^ab/L). This variation allows us to compute the functors of induction and restriction for (\phi,\Gamma)modules, when the ground field L changes. We also give a selfcontained account of the CherbonnierColmez theorem on overconvergence in our setting.
 Publication:

arXiv eprints
 Pub Date:
 May 2018
 arXiv:
 arXiv:1805.08103
 Bibcode:
 2018arXiv180508103D
 Keywords:

 Mathematics  Number Theory
 EPrint:
 19 pages