%0 Journal Article %A Moon, Hyunsuk %A Taguchi, Yuichiro %T Refinement of Tate's discriminant bound and non-existence theorems for mod $p$ Galois representations %J Documenta mathematica %D 2003 %P 641-654 %V Kazuya Kato's Fiftieth Birthday %I mathdoc %U http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a6/ %G en %F DOCMA_2003__S6__a6