Affine open subsets in A^3 without the cancellation property

Details Affine open subsets in A^3 without the cancellation property Affine open subsets in A^3 without the cancellation property

2011-07-11

arxiv.org/abs/1107.1968v1

Mathematics

Algebraic Geometry

Scientific paper

We give families of examples of principal open subsets of the affine space
\mathbb{A}^{3} which do not have the cancellation property. We show as a
by-product that the cylinders over Koras-Russell threefolds of the first kind
have a trivial Makar-Limanov invariant.

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