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 $K$.

**Authors:**

**Knowl status:**

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

**Referred to by:**

**History:**(expand/hide all)

**Differences**(show/hide)