English

On the essential dimension of unipotent algebraic groups

Number Theory 2010-12-15 v1

Abstract

We give an upper bound for the essential dimension of a smooth unipotent algebraic group over an arbitrary field. We also show that over a field kk which is finitely generated over a perfect field, a smooth unipotent algebraic kk-group is of essential dimension 0 if and only if it is kk-split.

Keywords

Cite

@article{arxiv.1012.2984,
  title  = {On the essential dimension of unipotent algebraic groups},
  author = {Nguyen Duy Tan},
  journal= {arXiv preprint arXiv:1012.2984},
  year   = {2010}
}

Comments

24 pages

R2 v1 2026-06-21T16:58:19.269Z