show · ec.geom_endomorphism_ring all knowls · up · search:

The geometric endomorphism ring of an elliptic curve $E$ over a field $K$ is $\End(E_{\overline{K}})$, the endomorphism ring of the base change of $E$ to an algebraic closure $\overline{K}$ of $K$.

This is a special case of the geometric endomorphism ring of an abelian variety.

Authors:
Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2020-10-10 16:15:49
Referred to by:
History: (expand/hide all) Differences (show/hide)