Motivic invariants of symmetric powers of curves

Zusammenfassung

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 K-groups. (c) 2021 Elsevier B.V. All rights reserved.