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the latter, still do not seem to be so commonly known.This book consists of two parts; a reproduction of the author's unpublished Lecture Notes (1968,69), and Author's Notes (2008).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 Though remained formally unpublished, these Lecture Notes had been widely circulated and have stimulated researches in various directions.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

On Congruence Monodromy Problems

Product form

£22.01

Includes FREE delivery
Usually despatched within 3 days
Paperback / softback by Yasutaka Ihara

1 in stock

Short 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... Read more

    Publisher: Mathematical Society of Japan
    Publication Date: 03/01/2009
    ISBN13: 9784931469501, 978-4931469501
    ISBN10: 4931469507

    Number of Pages: 230

    Non Fiction , Mathematics & Science , Education

    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the latter, still do not seem to be so commonly known.This book consists of two parts; a reproduction of the author's unpublished Lecture Notes (1968,69), and Author's Notes (2008).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 Though remained formally unpublished, these Lecture Notes had been widely circulated and have stimulated researches in various directions.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

    Customer Reviews

    Be the first to write a review
    0%
    (0)
    0%
    (0)
    0%
    (0)
    0%
    (0)
    0%
    (0)

    Recently viewed products

    © 2025 Book Curl,

      • American Express
      • Apple Pay
      • Diners Club
      • Discover
      • Google Pay
      • Maestro
      • Mastercard
      • PayPal
      • Shop Pay
      • Union Pay
      • Visa

      Login

      Forgot your password?

      Don't have an account yet?
      Create account