The Arithmetic and Geometry of Algebraic Cycles

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The Arithmetic and Geometry of Algebraic Cycles is written by B. Brent Gordon and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821870203 (ISBN 10) and 9780821870204 (ISBN 13).

From the June 1998 Summer School come 20 contributions that explore algebraic cycles (a subfield of algebraic geometry) from a variety of perspectives. The papers have been organized into sections on cohomological methods, Chow groups and motives, and arithmetic methods. Some specific topics include logarithmic Hodge structures and classifying spaces; Bloch's conjecture and the K-theory of projective surfaces; and torsion zero-cycles and the Abel-Jacobi map over the real numbers.