Base change for Picard-Vessiot closures

Andy R. Magid. "Base change for Picard-Vessiot closures." Banach Center Publications 94.1 (2011): 233-238. <http://eudml.org/doc/282261>.

@article{AndyR2011,
abstract = {The differential automorphism group, over F, Π₁(F₁) of the Picard-Vessiot closure F₁ of a differential field F is a proalgebraic group over the field $C_F$ of constants of F, which is assumed to be algebraically closed of characteristic zero, and its category of $C_F$ modules is equivalent to the category of differential modules over F. We show how this group and the category equivalence behave under a differential extension E ⊃ F, where $C_E$ is also algebraically closed.},
author = {Andy R. Magid},
journal = {Banach Center Publications},
keywords = {differential field; differential extension; category equivalence; proalgebraic group},
language = {eng},
number = {1},
pages = {233-238},
title = {Base change for Picard-Vessiot closures},
url = {http://eudml.org/doc/282261},
volume = {94},
year = {2011},
}

TY - JOUR
AU - Andy R. Magid
TI - Base change for Picard-Vessiot closures
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 233
EP - 238
AB - The differential automorphism group, over F, Π₁(F₁) of the Picard-Vessiot closure F₁ of a differential field F is a proalgebraic group over the field $C_F$ of constants of F, which is assumed to be algebraically closed of characteristic zero, and its category of $C_F$ modules is equivalent to the category of differential modules over F. We show how this group and the category equivalence behave under a differential extension E ⊃ F, where $C_E$ is also algebraically closed.
LA - eng
KW - differential field; differential extension; category equivalence; proalgebraic group
UR - http://eudml.org/doc/282261
ER -