Motivic invariants of symmetric powers of curves
arXiv:2009.06986
Abstract
We study the structure of various invariants of the symmetric powers of a smooth projective curve in terms of that of the Jacobian of the curve. We generalise the results of Macdonald and Collino to various invariants including the Weil-cohomology theory, the higher Chow groups, the additive higher Chow groups and the rational -groups.
20 pages, final version, to appear in Journal of Pure and Applied Algebra