English

Polarizations on abelian varieties

Algebraic Geometry 2007-05-23 v1 Number Theory

Abstract

The results in this paper imply that for every number field F and positive integer r, there exists an F-isogeny class of abelian varieties such that r divides the degree of every F-polarization on every abelian variety in the isogeny class.

Keywords

Cite

@article{arxiv.math/0002253,
  title  = {Polarizations on abelian varieties},
  author = {A. Silverberg and Yu. G. Zarhin},
  journal= {arXiv preprint arXiv:math/0002253},
  year   = {2007}
}