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The Weil-Châtelet group Ш of an abelian variety $A$ over a field $K$ is the group of principal homogenous spaces of $A$.

It can also be defined as the Galois cohomology group $H^1(G_K,A)$, where $G_K$ is the absolute Galois group of $K$.

Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2020-10-09 18:14:20
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