Diophantine and cohomological dimensions

Wed, 19/11/2014 - 10:30
Speaker: 
Seminar: 
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.