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• W3102052549 abstract "According to the classical theorem, every irreducible algebraic variety endowed with a nontrivial rational action of a connected linear algebraic group is birationally isomorphic to a product of another algebraic variety and ${bf P}^s$ with positive $s$. We show that the classical proof of this theorem actually works only in characteristic $0$ and we give a characteristic free proof of it. To this end we prove and use a characterization of connected linear algebraic groups $G$ with the property that every rational action of $G$ on an irreducible algebraic variety is birationally equivalent to a regular action of $G$ on an affine algebraic variety." @default.
• W3102052549 created "2020-11-23" @default.
• W3102052549 creator A5052762947 @default.
• W3102052549 date "2015-05-16" @default.
• W3102052549 modified "2023-10-12" @default.
• W3102052549 title "Birational splitting and algebraic group actions" @default.
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• W3102052549 doi "https://doi.org/10.1007/s40879-015-0050-8" @default.
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