Diophantine and cohomological dimensions
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.
תאריך עדכון אחרון : 11/11/2014