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

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

2008-01-14

arxiv.org/abs/0801.2149v4

Mathematics

Number Theory

33 pages; totally revised version (the bound improved)

Scientific paper

For a rational prime p, let k be a perfect field of characteristic p, K be a finite totally ramified extension of Frac(W(k)) of degree e and r be a non-negative integer satisfying ru(K,r,n) acts trivially on the p^n-torsion semi-stable G_K-representations with the Hodge-Tate weights in {0,...,r}, 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(n+r/(p-1)) for r>1.

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