Period-index and u-invariant questions for function fields over complete discretely valued fields
Rings and Algebras
2015-06-15 v1
Abstract
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 give a bound for the Brauer p-simension of F in terms of 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.
Keywords
Cite
@article{arxiv.1304.2214,
title = {Period-index and u-invariant questions for function fields over complete discretely valued fields},
author = {R. Parimala and V. Suresh},
journal= {arXiv preprint arXiv:1304.2214},
year = {2015}
}