Torsion group schemes as iterative differential Galois groups

Details Torsion group schemes as iterative differential Galois groups Torsion group schemes as iterative differential Galois groups

2012-03-28

arxiv.org/abs/1203.6198v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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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