107 citations · 194 across the 26 of their papers we have counts for
4 papers · 1 filter
Free differential Galois groups
Annette Bachmayr, David Harbater, Julia Hartmann +1
We study the structure of the absolute differential Galois group of a rational function field over an algebraically closed field of characteristic zero. In particular, we relate th…
Large Fields in Differential Galois Theory
Annette Bachmayr, David Harbater, Julia Hartmann +1
We solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over . More generally, we sh…
Differential Embedding Problems over Laurent series fields
Annette Bachmayr, David Harbater, Julia Hartmann
We solve the inverse differential Galois problem over the fraction field of and use this to solve split differential embedding problems over that are induced…
Differential Galois Groups over Laurent Series Fields
David Harbater, Julia Hartmann, Annette Maier
In this manuscript, we apply patching methods to give a positive answer to the inverse differential Galois problem over function fields over Laurent series fields of characteristic…