On congruence monodromy problems
Author(s)
Bibliographic Information
On congruence monodromy problems
（MSJ memoirs, v. 18）
Mathematical Society of Japan, 2008
Available at 36 libraries
Note
"Reproduction of the Lecture notes: volume 1 (1968), volume 2 (1969) (University of Tokyo). With author's notes (2008)."
Includes bibliographical references
"Additional references": p. 229-230
Description and Table of Contents
Description
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the latter, still do not seem to be so commonly known.This book consists of two parts; a reproduction of the author's unpublished Lecture Notes (1968,69), and Author's Notes (2008).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 Though remained formally unpublished, these Lecture Notes had been widely circulated and have stimulated researches in various directions.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
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