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math.AC2022
Normal Forms in Differential Galois Theory for the Classical Groups
Daniel Robertz, Matthias Seiss
Let be a classical group of dimension and let be differential indeterminates over a differential field of characteristic zero with alge…
math.AC2020
On General Extension Fields for the Classical Groups in Differential Galois Theory
Matthias Seiss
Let be one of the classical groups of Lie rank . We make a similar construction of a general extension field in differential Galois theory for as E. Noether did in class…
math.AC2020
Singularities of Algebraic Differential Equations
Markus Lange-Hegermann, Daniel Robertz, Werner M. Seiler +1
There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose…