Cylinders over affine surfaces
classification
🧮 math.AG
keywords
affineringconsiderconstantscylindersderivationsintersectionlocally-nilpotent
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For an affine variety $S$ we consider the ring $AK(S),$ which is the intersection of the rings of constants of all locally-nilpotent derivations of the ring $\Cal {O}(S).$ We show that $AK(S\times\Bbb {C}^n)=AK(S)$ for a smooth affine surface $S$ with $H^2(S,\Bbb {Z})=\{0\}.$
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