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arXiv · 2411.16041

Witt Group of Nondyadic Curves

Nanjun Yang
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Abstract

Witt group of real algebraic curves has been studied since Knebusch in 1970s. But few results are known if the base field is non-Archimedean except the hyperelliptic case by works of Parimala, Arason et al.. In this paper, we compute the derived Witt groups of smooth proper curves over nondyadic local fields with $char\neq2$ by reduction, with a general study of the existence of Theta characteristics.

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Nanjun Yang. 2024-11-25. Witt Group of Nondyadic Curves. https://arxiv.org/abs/2411.16041

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