ARITHMETIC DUALITY THEOREMS

  • Brown M
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Abstract

We prove several duality theorems for the Galois and etale cohomology of 1-motives defined over local and global fields and establish a 12-term Poitou-Tate type exact sequence. The results give a common generalisation and sharpening of well-known theorems by Tate on abelian varieties as well as results by Tate/Nakayama and Kottwitz on algebraic tori.

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Brown, M. L. (1988). ARITHMETIC DUALITY THEOREMS. Bulletin of the London Mathematical Society, 20(3), 275–276. https://doi.org/10.1112/blms/20.3.275

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