Monodromy Problem Research Articles

TOWERS OF ALGEBRAIC CURVES UNIFORMIZED BY DISCRETE SUBGROUPS OF $PGL_2(k_w)\times E$

Ihara, in his article On congruence monodromy problems showed that for a non-Archimedean local field one can associate to the discrete subgroups of of a certain type towers of algebraic curves on which acts as a group of automorphisms. In the present article Ihara's results are carried over by means of Mumford's non-Archimedean uniformization to an analogous class of discrete subgroups of , with a non-Archimedean field (of arbitrary characteristic), and a topological group whose compact open subgroups form a fundamental system of neighborhoods of 1. Bibliography: 12 titles.

The congruence monodromy problems

The congruence monodromy problems