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arXiv · 1203.6198

Torsion group schemes as iterative differential Galois groups

Andreas Maurischat
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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.

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Andreas Maurischat. 2015-10-14. Torsion group schemes as iterative differential Galois groups. https://doi.org/10.1007/s13366-019-00440-3

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