Essential dimension of infinitesimal unipotent group schemes

Abstract

We propose a generalization of Ledet conjecture, which predicts the essential dimension of cyclic $p$-groups in characteristic $p$, for finite commutative unipotent group schemes. And we show some evidence and some consequences of this new conjecture.

7 pages. This was originally the last section of arXiv:1602.07187v1. We added the (conditional) essential dimension of abelian varieties in positive characteristic