Remarks on the intrinsic inverse problem
Volume 58 / 2002
Banach Center Publications 58 (2002), 127-35
MSC: Primary 12H05; Secondary 20G15
DOI: 10.4064/bc58-0-2
Abstract
The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this intrinsic setting, and show by explicit computations that they are sufficient in a (very) special situation.