曲线粗鲸符号核与余核生成器的界限
K理论与同调
2024-10-23 v2 代数几何
摘要
设 为在场上正则、不可约的曲线。我们以算术 genus 为界限，给出粗鲸符号余核以及（在某一简化假设下）其核所需的生成器的界限。我们简要讨论了将其用于 Chow 群的潜在应用。
引用
@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}
}
备注
Fixed a few typos and added minor clarifications. To appear in the special issue of Indagationes Mathematicae dedicated to the memory of Jacob Murre