R. Parimala and V. Suresh: Period-index and u-invariant questions for function fields over complete discretely valued fields


Submission: 2013, Apr 8

Let K be a complete discretely valued field and F the function field of a curve over K. If the characteristic of the residue field k of K is p > 0, then we show that the Brauer p-simension of F is bounded by the p-rank of k. If k is a perfect field of characteristic 2, we show that the u-invaraint of F is at most 8.

2010 Mathematics Subject Classification:

Keywords and Phrases: Brauer dimension, u-invariant, function fields, complete discrete valued fields.

Full text: dvi.gz 45 k, dvi 124 k, ps.gz 874 k, pdf.gz 207 k, pdf 233 k.

Server Home Page