Affine open subsets in A³ without the cancellation property

2011/07/11 by Adrien Dubouloz, Dubouloz, Adrien · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1107.1968

openalex publication_date 2011/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give families of examples of principal open subsets of the affine space \mathbbA³ 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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