Some arithmetic proerties of Lame operators with dihedral monodromy

Details Some arithmetic proerties of Lame operators with dihedral monodromy Some arithmetic proerties of Lame operators with dihedral monodromy

2004-03-17

arxiv.org/abs/math/0403287v1

Mathematics

Number Theory

10 pages, 4 figures, 1 table

Scientific paper

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.

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