English

Essential dimension of abelian varieties over number fields

Number Theory 2008-03-04 v1

Abstract

We affirmatively answer a conjecture in the preprint ``Essential dimension and algebraic stacks,'' proving that the essential dimension of an abelian variety over a number field is infinite.

Keywords

Cite

@article{arxiv.0803.0016,
  title  = {Essential dimension of abelian varieties over number fields},
  author = {Patrick Brosnan and Ramesh Sreekantan},
  journal= {arXiv preprint arXiv:0803.0016},
  year   = {2008}
}

Comments

4 pages. To appear in C. R. Math. Acad. Sci. Paris. Preprint posted earlier to http://www.mathematik.uni-bielefeld.de/LAG/

R2 v1 2026-06-21T10:17:21.010Z