Some foundational questions concerning differential algebraic groups
type: Item
instance of: scholarly article
title: Some foundational questions concerning differential algebraic groups
zbMATH Open document ID: 0999.12009
author: Anand Pillay
published in: Pacific Journal of Mathematics
publication date: 1997-12-08T00:00:00Z
review text: The author solves some problems posed by \textit{E. R. Kolchin} in the introduction to his book [Differential algebraic groups. Academic Press, Orlando (1985; Zbl 0556.12006)]. The main result (from which the others follow) is the embeddability of any differential algebraic group in an algebraic group. A crucial intermediate result, and one of independent interest, is a generalisation of Weil's theorem on recovering an algebraic group from birational data, to pro-algebraic groups. In the proof he uses methods and ideas from model theory.
Mathematics Subject Classification ID: 12H05
zbMATH DE Number: 1066034
zbMATH Keywords: embeddability
zbMATH Keywords: differential algebraic group
zbMATH Keywords: pro-algebraic groups
reviewed by: Olaf Ninnemann
MaRDI profile type: Publication
full work available at URL: pjm.1997.179.179
OpenAlex ID: W2145220304
DOI: 10.2140/PJM.1997.179.179
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description: scientific article; zbMATH DE number 1066034