Some arithmetic proerties of Lame operators with dihedral monodromy

Abstract

In this paper, we describe some arithmetic properties of Lame operators with finite dihedral projective monodromy. We take advantage of the deep link with Grothendieck's theory of dessins d'enfants. We focus more particularly on the case of projective monodromy of order 2p, where p is an odd prime number.

10 pages, 4 figures, 1 table