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# On a ramification bound of semi-stable torsion representations over a local field

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 Title: On a ramification bound of semi-stable torsion representations over a local field Authors: Hattori, Shin Browse this author Issue Date: 16-Jul-2008 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 non-negative integer satisfying $ru(K,r,n)$ acts trivially on the mod $p^n$ representations associated to $V$, where $u(K,0,n)=0$, $u(K,1,n)=1+e(n+1/(p-1))$ and $u(K,r,n)=1-p^{-n}e(K(\zeta_p)/K)^{-1}+e(n+r/(p-1))$ 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