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Some arithmetic proerties of Lame operators with dihedral monodromy

2004/03/17 by Leonardo Zapponi, Zapponi, Leonardo
Mathematics · #11G30 #14G05 #14G25 #14H25 #14H30 #14H51 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.AG #math.NT #msc:11G30 #msc:14G05 #msc:14G25 #msc:14H25 #msc:14H30 #msc:14H51

paper · pdf · doi:10.48550/arxiv.math/0403287

10 pages, 4 figures, 1 table

arxiv created 2004/03/17 · openalex publication_date 2004/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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