Motivic invariants of symmetric powers of curves

Rahul Gupta

Motivic invariants of symmetric powers of curves

Algebraic Geometry 2021-09-27 v2

Authors: Rahul Gupta

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.

Keywords

symmetric powers smooth projective curve jacobian motivic invariants weil-cohomology higher chow groups rational k-groups

Cite

@article{arxiv.2009.06986,
  title  = {Motivic invariants of symmetric powers of curves},
  author = {Rahul Gupta},
  journal= {arXiv preprint arXiv:2009.06986},
  year   = {2021}
}

Comments

20 pages, final version, to appear in Journal of Pure and Applied Algebra

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