Poitou-Tate without restrictions on the order

  title={Poitou-Tate without restrictions on the order},
  author={Kestutis Cesnavicius},
  journal={arXiv: Number Theory},
The Poitou-Tate sequence relates Galois cohomology with restricted ramification of a finite Galois module $M$ over a global field to that of the dual module under the assumption that $\#M$ is a unit away from the allowed ramification set. We remove the assumption on $\#M$ by proving a generalization that allows arbitrary "ramification sets" that contain the archimedean places. We also prove that restricted products of local cohomologies that appear in the Poitou-Tate sequence may be identified… Expand
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