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arXiv · 2009.06986

Motivic invariants of symmetric powers of curves

Rahul Gupta
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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 $K$-groups.

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Rahul Gupta. 2020-09-15. Motivic invariants of symmetric powers of curves. https://arxiv.org/abs/2009.06986

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