曲线驯服符号的内核和外核的边界生成器

arXiv - MATH - K-Theory and Homology Pub Date : 2024-07-10 DOI:arxiv-2407.07974

Rob de Jeu

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引用次数: 0

摘要

让 $C$ 是一条规则的、不可还原的曲线，它在一个域上是投影的。我们用 C$ 的算术属来定义驯服符号内核所需的生成器，以及简化假设下的内核。我们简要讨论了它在周群中的潜在应用。

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Bounding generators for the kernel and cokernel of the tame symbol for curves

Let $C$ be a regular, irreducible curve that is projective over a field. We obtain bounds in terms of the arithmetic genus of $C$ 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.

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arXiv - MATH - K-Theory and Homology

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