An abelian variety is principally polarizable if it admits a polarization that is an isomorphism. For example, the Jacobian of a curve admits a canonical principal polarization; by the Torelli theorem, the curve is uniquely determined by its Jacobian together with this polarization.
An isogeny class of abelian varieties is principally polarizable if one of its members admits a principal polarization.
- Review status: reviewed
- Last edited by Kiran S. Kedlaya on 2019-05-04 20:27:23