Bounding generators for the kernel and cokernel of the tame symbol for curves
K-Theory and Homology
2024-10-23 v2 Algebraic Geometry
Abstract
Let be a regular, irreducible curve that is projective over a field. We obtain bounds in terms of the arithmetic genus of for the generators that are required for the cokernel of the tame symbol, as well as, under a simplifying assumption, its kernel. We briefly discuss a potential application to Chow groups.
Keywords
Cite
@article{arxiv.2407.07974,
title = {Bounding generators for the kernel and cokernel of the tame symbol for curves},
author = {Rob de Jeu},
journal= {arXiv preprint arXiv:2407.07974},
year = {2024}
}
Comments
Fixed a few typos and added minor clarifications. To appear in the special issue of Indagationes Mathematicae dedicated to the memory of Jacob Murre