affine open subsets in \mathbb{A}^{3} without the cancellation property

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.
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https://hal.archives-ouvertes.fr/hal-00607720
Contributor : Adrien Dubouloz <>
Submitted on : Monday, July 11, 2011 - 9:53:07 AM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Wednesday, October 12, 2011 - 2:21:19 AM

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  • HAL Id : hal-00607720, version 1
  • ARXIV : 1107.1968

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Adrien Dubouloz. affine open subsets in \mathbb{A}^{3} without the cancellation property. 2011. ⟨hal-00607720⟩

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