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Bounding generators for the kernel and cokernel of the tame symbol for curves (2407.07974v2)
Published 10 Jul 2024 in math.KT and math.AG
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.