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arXiv:0708.3128 [math.NT]AbstractReferencesReviewsResources

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

R. Parimala, V. Suresh

Published 2007-08-23Version 1

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.

Comments: 20 pages
Journal: Ann. of Math. (2) 172 (2010), no. 2, 1391-1405
Categories: math.NT
Subjects: 11E04, 11E08, 12G05
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