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020 _a9781470439385 (online)
245 4 _aThe arithmetic and geometry of algebraic cycles :
_bproceedings of the CRM summer school, June 7-19, 1998, Banff, Alberta, Canada
260 _aProvidence, R.I. :
_bAmerican Mathematical Society,
_cc2000.
300 _a1 online resource (xxviii, 432 p. : ill.)
490 _aCRM Proceedings and Lecture Notes,
_vv. 24
_x2472-4890
504 _aIncludes bibliographical references.
505 _tFiltrations 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
_K
_-theory of projective surfaces ; From Jacobians to one-motives: Exposition of a conjecture of Deligne ; Motives, algebraic cycles and Hodge theory ; Picard-Fuchs uniformization: Modularity of the mirror map and mirror-moonshine ; Hilbert modular varieties in positive characteristic ; On the Neron-Severi groups of some
_K
_3 surfaces ; Torsion zero-cycles and the Abel-Jacobi map over the real numbers ; A remark on the Griffiths groups of certain product varieties ;
_p
_-adic Abel-Jacobi maps and
_p
_-adic heights ; Crystalline fundamental groups and
_p
_-adic Hodge theory ; Thompson series, and the mirror maps of pencils of
_K
_3 surfaces
650 _aAlgebraic cycles
700 _aGordon, B. Brent
856 _uhttp://www.ams.org/crmp/024
999 _c28380
_d28380