English

Affine open subsets in A^3 without the cancellation property

Algebraic Geometry 2011-07-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1107.1968,
  title  = {Affine open subsets in A^3 without the cancellation property},
  author = {Adrien Dubouloz},
  journal= {arXiv preprint arXiv:1107.1968},
  year   = {2011}
}
R2 v1 2026-06-21T18:34:51.268Z