On Congruence Monodromy Problems
Yasutaka Ihara
Broschiertes Buch

On Congruence Monodromy Problems

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It is now well-known that the group SL2(Z[1/p]) and the system of modular curves over Fp2 are "closely related," and that the latter provided first "examples" of curves over finite fields having many rational points. However, the "three basic relationships," which really justify the former to be called the arithmetic fundamental group of the latter, still do not seem to be so commonly known. This book consists of two parts; a reproduction of the author's unpublished Lecture Notes (1968,69), and Author's Notes (2008). The former starts with explicit three main conjectural relationships for more...