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CRM Monograph Series 2000; 97 pp; softcover Volume: 11 ISBN10: 0821829734 ISBN13: 9780821829738 List Price: US$28 Member Price: US$22.40 Order Code: CRMM/11.S See also: Motives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch  Rob de Jeu and James D Lewis The Geometry of Algebraic Cycles  Reza Akhtar, Patrick Brosnan and Roy Joshua  This book is the longawaited 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 intimatelyconnected new branches of arithmetic algebraic geometry, such as regulators and special values of Lfunctions 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. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students and researchers interested in arithmetic algebraic geometry, algebraic \(K\)theory, and motives. Reviews "The editors were indeed welladvised to publish these lecture notes ... They remain one of the best introductions to the study of special values of \(L\)functions in arithmetic geometry ... should be (at least) in every library of every department interested in modern number theory."  Zentralblatt MATH Table of Contents



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