Diophantine and cohomological dimensions

  title={Diophantine and cohomological dimensions},
  author={Daniel Krashen and Eliyahu Matzri},
  • Daniel Krashen, Eliyahu Matzri
  • Published 2013
  • Mathematics
  • 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. 


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