arXiv Analytics

Sign in

arXiv:math/0605444 [math.NT]AbstractReferencesReviewsResources

Abelian Varieties over Cyclic Fields

Bo-Hae Im, Michael Larsen

Published 2006-05-16, updated 2006-06-01Version 3

Let K be a field not of characteristic 2 such that every finite separable extension of K is cyclic. Let A be an abelian variety over K. If K is infinite, then A(K) is Zariski-dense in A. If K is not locally finite, the rank of A over K is infinite.

Comments: 15 pages; minor changes
Categories: math.NT, math.AG
Subjects: 11G10
Related articles: Most relevant | Search more
arXiv:math/9911218 [math.NT] (Published 1999-11-27)
The Tate Conjecture for Certain Abelian Varieties over Finite Fields
arXiv:1110.0255 [math.NT] (Published 2011-10-03, updated 2012-03-30)
Determinants of Subquotients of Galois Representations Associated to Abelian Varieties
arXiv:math/0606422 [math.NT] (Published 2006-06-19, updated 2006-10-16)
Abelian varieties without homotheties

Links

Toolbox