English

Torsion group schemes as iterative differential Galois groups

Algebraic Geometry 2020-08-18 v2 Rings and Algebras

Abstract

We are considering iterative derivations on the function field L of abelian schemes in positive characteristic p>0, and give conditions when the torsion group schemes of this abelian scheme occur as ID-automorphism groups, i.e. are the ID-Galois groups of L over certain ID-subfields. For an explicit example, we even give a construction of (a family of) such iterative derivations.

Keywords

Cite

@article{arxiv.1203.6198,
  title  = {Torsion group schemes as iterative differential Galois groups},
  author = {Andreas Maurischat},
  journal= {arXiv preprint arXiv:1203.6198},
  year   = {2020}
}

Comments

14 pages; v2: rewritten some proofs for better readability