Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
On a ramification bound of semistable torsion representations over a local field
Title:  On a ramification bound of semistable torsion representations over a local field 
Authors:  Hattori, Shin Browse this author 
Issue Date:  16Jul2008 
Publisher:  Department of Mathematics, Hokkaido University 
Journal Title:  Hokkaido University Preprint Series in Mathematics 
Volume:  917 
Start Page:  1 
End Page:  30 
Abstract:  Let $p$ be a rational prime, $k$ be a perfect field of characteristic $p$, $W=W(k)$ be the ring of Witt vectors, $K$ be a finite totally ramified extension of $\Frac(W)$ of degree $e$ and $r$ be a nonnegative integer satisfying $r<p1$. Let $V$ be a semistable $p$adic $G_K$representation with HodgeTate weights in $\{0,\dots,r\}$. In this paper, we prove the upper numbering ramification group $G_{K}^{(j)}$ for $j>u(K,r,n)$ acts trivially on the mod $p^n$ representations associated to $V$, where $u(K,0,n)=0$, $u(K,1,n)=1+e(n+1/(p1))$ and $u(K,r,n)=1p^{n}e(K(\zeta_p)/K)^{1}+e(n+r/(p1))$ for $r>1$. 
Type:  bulletin (article) 
URI:  http://hdl.handle.net/2115/69724 
Appears in Collections:  理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用
