Indecomposable Higher Chow cycles on Jacobians
Algebraic Geometry
2007-05-23 v1
Abstract
We construct some natural cycles with trivial regulator in the higher Chow groups of Jacobians. For hyperelliptic curves we use a criterion due to J. Lewis to prove that the cycles we construct are indecomposable, and then use a specialization argument to prove indecomposability for more general curves. Please note that math.AG/9909062 has become an obsolete version of some of the results in the present paper.
Cite
@article{arxiv.math/0005171,
title = {Indecomposable Higher Chow cycles on Jacobians},
author = {Alberto Collino and Najmuddin Fakhruddin},
journal= {arXiv preprint arXiv:math/0005171},
year = {2007}
}