Diophantine and cohomological dimensions
Rings and Algebras
2013-05-24 v1
Abstract
We give explicit linear bounds on the p-cohomological dimension of a field in terms of its Diophantine dimension. In particular, we show that for a field of Diophantine dimension at most 4, the 3-cohomological dimension is less than or equal to the Diophantine dimension.
Keywords
Cite
@article{arxiv.1305.5295,
title = {Diophantine and cohomological dimensions},
author = {Daniel Krashen and Eliyahu Matzri},
journal= {arXiv preprint arXiv:1305.5295},
year = {2013}
}
Comments
9 pages, comments welcome