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Cylinders over affine surfaces

Tatiana Bandman·Leonid Makar-Limanov
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Abstract

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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Tatiana Bandman, Leonid Makar-Limanov. 1998-07-26. Cylinders over affine surfaces. https://arxiv.org/abs/math/9807146

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