R. Parimala and V. Suresh: The u-invariant of the function fields of p-adic curves

vssm@uohyd.ernet.in

Submission: 2007, Sep 3

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.

2000 Mathematics Subject Classification:

Keywords and Phrases:

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