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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc58-0-2,
author = {Daniel Bertrand},
title = {Remarks on the intrinsic inverse problem},
journal = {Banach Center Publications},
volume = {58},
year = {2002},
pages = {127-35},
zbl = {1028.12004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc58-0-2}
}
Daniel Bertrand. Remarks on the intrinsic inverse problem. Banach Center Publications, Tome 58 (2002) pp. 127-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc58-0-2/