Moon, Hyunsuk; Taguchi, Yuichiro

Refinement of Tate's discriminant bound and non-existence theorems for mod $p$ Galois representations

Doc. Math. (Bielefeld) Extra Vol. Kazuya Kato's Fiftieth Birthday, 641-654 (2003)


Non-existence is proved of certain continuous irreducible mod $p$ representations of degree 2 of the absolute Galois group of the rational number field. This extends previously known results, the improvement based on a refinement of Tate's discriminant bound.

Mathematics Subject Classification

11F80, 11R39


Mod $p$ Galois representation, discriminant