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Indecomposable Higher Chow cycles on Jacobians

Alberto Collino·Najmuddin Fakhruddin
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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.

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Alberto Collino, Najmuddin Fakhruddin. 2000-05-17. Indecomposable Higher Chow cycles on Jacobians. https://arxiv.org/abs/math/0005171

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