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arXiv · 0708.3128

The u-invariant of the function fields of p-adic curves

R. Parimala·V. Suresh
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Abstract

The u-invariant of a field is the maximum dimension of ansiotropic quadratic forms over the field. It is an open question whether the u-invariant of function fields of p-aidc curves is 8. In this paper, we answer this question in the affirmative for function fields of non-dyadic p-adic curves.

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R. Parimala, V. Suresh. 2007-08-23. The u-invariant of the function fields of p-adic curves. https://arxiv.org/abs/0708.3128

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