LEONARDO ZAPPONI

Some arithmetic properties of Lamé operators with dihedral monodromy

Pages: 347-362
Received: 17 March 2004    Revised: 7 September 2004
Mathematics Subject Classification (2000): 11G30 - 14G05 - 14G25 - 14H25 - 14H30 - 14H51

Abstract: In this paper, we describe some arithmetic properties of Lamé operators with finite dihedral projective monodromy. We take advantage of the deep link with Grothendieck's theory of dessins d'enfants, following [10, 11]. We focus more particularly on the case of projective monodromy of order 2p, where p is an odd prime number.