Cylinders over affine surfaces

1998/07/26 by Tatiana Bandman, Bandman, Tatiana, Leonid Makar-Limanov +1
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #math.AG

paper · pdf · doi:10.48550/arxiv.math/9807146

14 pages, Ams-TeX

arxiv created 1998/07/26 · arxiv updated 2009/11/30

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×\Bbb Cⁿ)=AK(S) for a smooth affine surface S with H²(S,\Bbb Z)=\0\.

Related

• Affine surfaces with AK(S)=\Bbb C.
• Locally nilpotent derivations on affine surfaces with a \C^*-action
• Isomorphisms between cylinders over Danielewski surfaces
• Affine surfaces with isomorphic cylinders
• Affine surfaces with trivial Makar-Limanov invariant