Lectures on Algebraic Cycles
2nd Edition
Published on 16. August 2010
978-0-511-79575-6 (ISBN)
Description
Spencer Bloch's 1979 Duke lectures, a milestone in modern mathematics, have been out of print almost since their first publication in 1980, yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic cycles and motives. This edition, now professionally typeset, has a new preface by the author giving his perspective on developments in the field over the past 30 years. The theory of algebraic cycles encompasses such central problems in mathematics as the Hodge conjecture and the Bloch-Kato conjecture on special values of zeta functions. The book begins with Mumford's example showing that the Chow group of zero-cycles on an algebraic variety can be infinite-dimensional, and explains how Hodge theory and algebraic K-theory give new insights into this and other phenomena.
More details
Series
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
4 Line drawings, black and white
File size
1,83 MB
ISBN-13
978-0-511-79575-6 (9780511795756)
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Schweitzer Classification
Other editions
Additional editions
Spencer Bloch
Lectures on Algebraic Cycles
Book
07/2010
2nd Edition
Cambridge University Press
€96.50
Shipment within 15-20 days
Person
Spencer Bloch is R. M. Hutchins Distinguished Service Professor in the Department of Mathematics at the University of Chicago.
Content
Preface to the second edition; Introduction; 1. 0-cycles on surfaces; Lecture 1. Appendix. On an argument of Mumford in the theory of algebraic cycles; 2. Curves on threefolds and intermediate Jacobians; 3. Curves on threefolds and intermediate Jacobians - the relative case; 4. K-theoretic and cohomological methods; 5. Torsion in the Chow group; 6. Complements on H2(K2); 7. Diophantine questions; 8. Relative cycles and zeta functions; 9. Relative cycles and zeta functions (continued); References; Index.
