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arXiv · 2407.07974

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

Rob de Jeu
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Abstract

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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Rob de Jeu. 2024-07-10. Bounding generators for the kernel and cokernel of the tame symbol for curves. https://arxiv.org/abs/2407.07974

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