# Base change for Picard-Vessiot closures

Banach Center Publications (2011)

- Volume: 94, Issue: 1, page 233-238
- ISSN: 0137-6934

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topAndy 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 -

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