Algebraic cycles and infinitesimal invariants on Jacobian varieties

Ikeda, Atsushi

doi:10.1090/S1056-3911-03-00360-6

Author: Atsushi Ikeda
Journal: J. Algebraic Geom. 12 (2003), 573-603
DOI: https://doi.org/10.1090/S1056-3911-03-00360-6
Published electronically: March 11, 2003
MathSciNet review: 1966027
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Abstract | References | Additional Information

Abstract: We study the infinitesimal invariant for a family of algebraic cycles on Jacobian varieties, and prove the formula for calculating the infinitesimal invariant. Applying this formula to Jacobian varieties of plane curves, we detect a non-torsion element in the higher Griffiths group, which is a group of algebraic cycles modulo certain algebraic equivalence based on the theory of mixed motives.

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Additional Information

Atsushi Ikeda
Affiliation: Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka 560-0043, Japan
Email: atsushi@math.sci.osaka-u.ac.jp

DOI: https://doi.org/10.1090/S1056-3911-03-00360-6
Received by editor(s): January 25, 2001
Published electronically: March 11, 2003