2000/05/17 by Alberto Collino, Collino, Alberto, Najmuddin Fakhruddin +1
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Coding theory and cryptography #Finite Group Theory Research #math.AG #msc:14C30 #msc:19E15
paper · pdf · doi:10.48550/arxiv.math/0005171
arxiv created 2000/05/17 · arxiv updated 2009/11/30
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.