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arXiv · 1311.6060

A Proof of the Barsotti-Chevalley Theorem on Algebraic Groups

James S. Milne
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Abstract

A fundamental theorem of Barsotti and Chevalley states that every smooth algebraic group over a perfect field is an extension of an abelian variety by a smooth affine algebraic group. In 1956 Rosenlicht gave a short proof of the theorem. In this expository article, we explain his proof in the language of modern algebraic geometry.

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James S. Milne. 2013-12-07. A Proof of the Barsotti-Chevalley Theorem on Algebraic Groups. https://arxiv.org/abs/1311.6060

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