We classify the G(a)-actions on normal affine varieties defined over any field that are horizontal with respect to a torus action of complexity one. This generalizes previous results that were available for perfect ground fields (cf. [12, 16, 17]).
机构:
Univ Grenoble 1, Inst Fourier, UMR 5582, CNRS,UJF, F-38402 St Martin Dheres, FranceUniv Grenoble 1, Inst Fourier, UMR 5582, CNRS,UJF, F-38402 St Martin Dheres, France
机构:
Saitama Univ, Fac Sci, Dept Math, Saitama 3388570, JapanSaitama Univ, Fac Sci, Dept Math, Saitama 3388570, Japan
Kishimoto, Takashi
Prokhorov, Yuri
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VA Steklov Math Inst, Moscow 119991, Russia
GU HSE, Lab Algebra Geometry, Moscow 117312, RussiaSaitama Univ, Fac Sci, Dept Math, Saitama 3388570, Japan
Prokhorov, Yuri
Zaidenberg, Mikhail
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Univ Grenoble 1, CNRS UJF, UMR 5582, Inst Fourier, F-38402 St Martin Dheres, FranceSaitama Univ, Fac Sci, Dept Math, Saitama 3388570, Japan