Lectures on Algebraic Cycles

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.\n\nThis 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. Additional ISBNs 0521118425, 0511795750, 9780521118422, 9780511795756Lectures on Algebraic Cycles 2nd Edition is written by Spencer Bloch and published by Cambridge University Press. ISBNs for Lectures on Algebraic Cycles are 9780511795756, 0511795750 and the print ISBNs are 9780521118422, 0521118425. Additional ISBNs include 0521118425, 0511795750, 9780521118422, 9780511795756.