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VIDEO LIBRARY |
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg
on the occasion of his 80th birthday
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Algebraic group actions on normal varieties M. Brionab a Universite de Grenoble, France b CNRS, France |
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Abstract: Let G be a connected algebraic k-group acting on a normal k-variety X, where k is a field. We show that X is covered by open G-stable quasi-projective subvarieties; moreover, any such subvariety admits an equivariant embedding into the projectivization of a G-linearized vector bundle on an abelian variety, quotient of G. This generalizes a result of Sumihiro on actions of affine algebraic groups, and yields a refinement of a result of Weil on birational actions. Language: English |