Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves ( CRM Monograph Series )

Publication series :CRM Monograph Series

Author: Spencer J. Bloch  

Publisher: American Mathematical Society‎

Publication year: 2015

E-ISBN: 9781470417703

P-ISBN(Paperback): 9780821821145

Subject: O154.3 Algebraic K - theory.

Keyword: 暂无分类

Language: ENG

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Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves

Description

This book is the long-awaited publication of the famous Irvine lectures. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more). In the 20 years since, the importance of Bloch's lectures has not diminished. A lucky group of people working in the above areas had the good fortune to possess a copy of old typewritten notes of these lectures. Now everyone can have their own copy of this classic work.

Chapter

Other titles in this series

Title page

Author’s apology

Contents

Acknowledgments

Introduction

Tamagawa numbers

Tamagawa numbers. Continued

Continuous cohomology

A theorem of Borel and its reformulation

The regulator map. I

The dilogarithm function

The regulator map. II

The regulator map and elliptic curves. I

The regulator map and elliptic curves. II

Elements in 𝐾₂(𝐸) of an elliptic curve 𝐸

A regulator formula

Bibliography

Index

Back Cover

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