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arxiv: 1107.1968 · v1 · pith:CUKQQOFKnew · submitted 2011-07-11 · 🧮 math.AG

Affine open subsets in A³ without the cancellation property

classification 🧮 math.AG
keywords affinecancellationopenpropertysubsetsby-productcylindersexamples
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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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