English

Group Schemes with $\mathbb F_q$-Action

Algebraic Geometry 2018-01-11 v3 Number Theory

Abstract

Via a construction due to V. Drinfel'd, we prove an equivalence of categories, generalizing the equivalence between commutative flat group schemes in characteristic pp with trivial Verschiebung and their Dieudonn\'e modules to group schemes with Fq\mathbb F_q-action.

Keywords

Cite

@article{arxiv.1502.02150,
  title  = {Group Schemes with $\mathbb F_q$-Action},
  author = {Thomas Poguntke},
  journal= {arXiv preprint arXiv:1502.02150},
  year   = {2018}
}

Comments

25 pages; v2: improvements throughout, incl. referee's suggestions; v3: minimal corrections, added journal ref

R2 v1 2026-06-22T08:24:34.152Z