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• W2246295512 abstract "Let X be a normal affine T-variety of complexity at most one over a perfect field k, where T stands for the split algebraic torus. Our main result is a classification of additive group actions on X that are normalized by the T-action. This generalizes the classification given by the second author in the particular case where k is algebraically closed and of characteristic zero. With the assumption that the characteristic of k is positive, we introduce the notion of rationally homogeneous locally finite iterative higher derivations which corresponds geometrically to additive group actions on affine T-varieties normalized up to a Frobenius map. As a preliminary result, we provide a complete description of these additive group actions in the toric situation." @default.
• W2246295512 created "2016-06-24" @default.
• W2246295512 creator A5066881563 @default.
• W2246295512 creator A5070310538 @default.
• W2246295512 date "2016-03-01" @default.
• W2246295512 modified "2023-10-18" @default.
• W2246295512 title "Additive group actions on affine T-varieties of complexity one in arbitrary characteristic" @default.
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• W2246295512 doi "https://doi.org/10.1016/j.jalgebra.2015.11.019" @default.
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