TY - JOUR AU - Moon, Hyunsuk AU - Taguchi, Yuichiro TI - Refinement of Tate's discriminant bound and non-existence theorems for mod $p$ Galois representations JO - Documenta mathematica PY - 2003 SP - 641 EP - 654 VL - Kazuya Kato's Fiftieth Birthday PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a6/ LA - en ID - DOCMA_2003__S6__a6 ER -