On Congruence Monodromy Problems (Paperback) (ISBN-13: 9784931469501)

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the latter, still do not seem to be so commonly known.This book consists of two parts; a reproduction of the author's unpublished Lecture Notes (1968,69), and Author's Notes (2008).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 general cases and gives various approaches towards their proofs. Though remained formally unpublished, these Lecture Notes had been widely circulated and have stimulated researches in various directions. The main conjectures themselves have also been proved since then. The Author's Notes (2008) gives detailed explanations of these developments, together with open problems.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Author: Yasutaka Ihara
ISBN-10: 4931469507
ISBN-13: 9784931469501
Publisher: Mathematical Society of Japan
Language: English
Published: 01/03/2009
Pages: 230
Format: Paperback
Weight: 1.01lbs
Size: 9.70h x 6.80w x 0.70d