# Diophantine and cohomological dimensions

@inproceedings{Krashen2013DiophantineAC, title={Diophantine and cohomological dimensions}, author={Daniel Krashen and Eliyahu Matzri}, year={2013} }

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.

One Citation

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 19 REFERENCES