Base change for Picard-Vessiot closures
Andy R. Magid
Banach Center Publications, Tome 95 (2011), p. 233-238 / Harvested from The Polish Digital Mathematics Library
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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 CF of constants of F, which is assumed to be algebraically closed of characteristic zero, and its category of CF 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 CE is also algebraically closed.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:282261 
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     title = {Base change for Picard-Vessiot closures},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {233-238},
     zbl = {1252.12005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-16}
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Andy R. Magid. Base change for Picard-Vessiot closures. Banach Center Publications, Tome 95 (2011) pp. 233-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-16/