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

Mathematics – Number Theory

Scientific paper

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20 pages

Scientific paper

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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