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Lectures on Algebraic Cycles
Contributor(s): Bloch, Spencer (Author)
ISBN: 0521118425     ISBN-13: 9780521118422
Publisher: Cambridge University Press
OUR PRICE:   $84.54  
Product Type: Hardcover - Other Formats
Published: September 2010
Qty:
Additional Information
BISAC Categories:
- Mathematics | Topology - General
Dewey: 516.35
Series: New Mathematical Monographs
Physical Information: 0.6" H x 6.6" W x 9.2" (0.80 lbs) 156 pages
 
Descriptions, Reviews, Etc.
Publisher 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.

Contributor Bio(s): Bloch, Spencer: - Spencer Bloch is R. M. Hutchins Distinguished Service Professor in the Department of Mathematics at the University of Chicago.