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- W2205514144 abstract "We characterize rational actions of the additive group on algebraic varieties defined over a field of characteristic zero in terms of a suitable integrability property of their associated velocity vector fields. This extends the classical correspondence between regular actions of the additive group on affine algebraic varieties and the so-called locally nilpotent derivations of their coordinate rings. This leads in particular to a complete characterization of regular additive group actions on semi-affine varieties in terms of their associated vector fields. Among other applications, we review properties of the rational counter-part of the Makar-Limanov invariant for affine varieties and describe the structure of rational homogeneous additive group actions on toric varieties." @default.
- W2205514144 created "2016-06-24" @default.
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- W2205514144 date "2014-09-20" @default.
- W2205514144 modified "2023-09-24" @default.
- W2205514144 title "On rational additive group actions" @default.
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