Torsion group schemes as iterative differential Galois groups

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.

arXiv comment14 pages; v2: rewritten some proofs for better readability

References in corpus (2)

• Galois theory for iterative connections and nonreduced Galois groups
• Infinitesimal group schemes as iterative differential Galois groups