A MODERN PROOF OF CHEVALLEY’S THEOREM ON ALGEBRAIC GROUPS

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Some structure theorems for algebraic groups (2015, background): “For this reason, modern proofs of the above results have been made available recently: first, a scheme-theoretic version of Chevalley’s proof of his structure theorem by Conrad (see [18]); then a version of Rosenlicht’s proof for smooth connected algebraic groups over algebraically closed fields (se”
Log homogeneous varieties (2006, background): “By a result of Chevalley (see [6] for a modern proof), there exists a unique closed connected normal affine subgroup Gaff ⊆ G such that the quotient group G/Gaff is an abelian variety.”
An introduction to motivic Hall algebras (2010, background): “For a modern proof of this see [6].”
Motivic zeta functions of abelian varieties, and the monodromy conjecture (2009, unknown): “u (d) , t (d) , a (d) and B (d) only depend on d e .”
Smooth varieties up to A^1-homotopy and algebraic h-cobordisms (2008, background): “By Chevalley’s theorem [Con02], there is a canonical extension of the form”
Good reduction of abelian varieties (2014, unknown): “See [7] for a proof.”