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Cylinders over affine surfaces

Tatiana Bandman, Leonid Makar-Limanov

math.AGarXiv:math/9807146

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 O(S). We show that AK(S× Cn)=AK(S) for a smooth affine surface S with H2(S, Z)=\0\.

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