A short proof is given for Chevalley's theorem on algebraic groups as extensions of Abelian varieties by linear groups, while addressing Bertini's irreducibility theorem.
Balaji and J \'a nos Koll \'a r, Restrictions of stable bundles, Compact moduli spaces and vector bundles, Contemp
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Theorems of Bertini and Chevalley
A short proof is given for Chevalley's theorem on algebraic groups as extensions of Abelian varieties by linear groups, while addressing Bertini's irreducibility theorem.