Cylinders over affine surfaces

Details Cylinders over affine surfaces Cylinders over affine surfaces

1998-07-26

arxiv.org/abs/math/9807146v1

Mathematics

Algebraic Geometry

14 pages, Ams-TeX

Scientific paper

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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