Matches in DBpedia 2014 for { ?s ?p In algebraic geometry, Chevalley's structure theorem states that a connected algebraic group over a perfect field has a unique normal affine algebraic subgroup such that the quotient is an abelian variety. It was proved by Chevalley (1960) (though he had previously announced the result in 1953), Barsotti (1955), and Rosenlicht (1956),Chevalley's original proof, and the other early proofs by Barsotti and Rosenlicht, used the idea of mapping the algebraic group to its Albanese variety. The original proofs were based on Weil's book Foundations of algebraic geometry, but Conrad (2002) later gave an exposition of Chevalley's proof in scheme-theoretic terminology.. }
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- Chevalley's_structure_theorem abstract "In algebraic geometry, Chevalley's structure theorem states that a connected algebraic group over a perfect field has a unique normal affine algebraic subgroup such that the quotient is an abelian variety. It was proved by Chevalley (1960) (though he had previously announced the result in 1953), Barsotti (1955), and Rosenlicht (1956),Chevalley's original proof, and the other early proofs by Barsotti and Rosenlicht, used the idea of mapping the algebraic group to its Albanese variety. The original proofs were based on Weil's book Foundations of algebraic geometry, but Conrad (2002) later gave an exposition of Chevalley's proof in scheme-theoretic terminology.".