The arithmetic and geometry of algebraic cycles : proceedings of the CRM summer school, June 7-19, 1998, Banff, Alberta, Canada - Providence, R.I. : American Mathematical Society, c2000. - 1 online resource (xxviii, 432 p. : ill.) - CRM Proceedings and Lecture Notes, v. 24 2472-4890 .

Includes bibliographical references.

Filtrations on the cohomology of abelian varieties ; Building mixed Hodge structures ; The Atiyah-Chern character yields the semiregularity map as well as the infinitesimal Abel-Jacobi map ; Regulators and characteristic classes of flat bundles ; Height pairings asymptotics and Bott-Chern forms ; Logarithmic Hodge structures and classifying spaces ; Motives and algebraic de Rham cohomology ; Hermitian vector bundles and characteristic classes ; The mixed motive of a projective variety ; Bloch's conjecture and the

9781470439385 (online)


Algebraic cycles