15 citations · 64 across the 25 of their papers we have counts for
5 papers · 1 filter
Reduced group schemes as iterative differential Galois groups
Andreas Maurischat
This article is on the inverse Galois problem in Galois theory of linear iterative differential equations in positive characteristic. We show that it has an affirmative answer for…
A chain rule formula for higher derivations and inverses of polynomial maps
Andreas Maurischat
The multidimensional chain rule formula for analytic functions and its generalisation to higher derivatives perfectly work in the algebraic setting in characteristic zero. In posit…
Non-free iterative differential modules
Andreas Maurischat
In the article "Picard-Vessiot theory of differentially simple rings" we established a Picard-Vessiot theory over differentially simple rings which may not be fields. Differential…
On the finite inverse problem in iterative differential Galois theory
Andreas Maurischat
In positive characteristic, nearly all Picard-Vessiot extensions are inseparable over some intermediate iterative differential extensions. In the Galois correspondence, these inter…
On the finite generation of additive group invariants in positive characteristic
Emilie Dufresne, Andreas Maurischat
Roberts, Freudenburg, and Daigle and Freudenburg have given the smallest counterexamples to Hilbert's fourteenth problem as rings of invariants of algebraic groups. Each is of an a…