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- W2037177613 abstract "Let X=spec A be a normal affine variety over an algebraically closed field k of characteristic 0 endowed with an effective action of a torus T of dimension n. Let also D be a homogeneous locally nilpotent derivation on the normal affine Z^n-graded domain A, so that D generates a k_+-action on X that is normalized by the T-action. We provide a complete classification of pairs (X,D) in two cases: for toric varieties (n=dim X) and in the case where n=dim X-1. This generalizes previously known results for surfaces due to Flenner and Zaidenberg. As an application we compute the homogeneous Makar-Limanov invariant of such varieties. In particular we exhibit a family of non-rational varieties with trivial Makar-Limanov invariant." @default.
- W2037177613 created "2016-06-24" @default.
- W2037177613 creator A5066881563 @default.
- W2037177613 date "2010-04-09" @default.
- W2037177613 modified "2023-09-26" @default.
- W2037177613 title "Affine $ mathbb{T} $ -varieties of complexity one and locally nilpotent derivations" @default.
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- W2037177613 doi "https://doi.org/10.1007/s00031-010-9089-2" @default.
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