2010•arXiv (Cornell University)Open access
Non cancellation for smooth contractible affine threefolds
Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni
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Abstract
We construct two non isomorphic contractible affine threefolds X and Y with isomorphic cylinders, showing that the generalized Cancellation Problem has a negative answer in general for contractible affine threefolds. We also establish that X and Y are actually biholomorphic as complex analytic varieties, providing the first example of a pair of biholomorphic but not isomorphic exotic affine 3-spaces.
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