Non cancellation for smooth contractible affine threefolds
Algebraic Geometry
2015-03-17 v1
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.
Keywords
Cite
@article{arxiv.1004.4723,
title = {Non cancellation for smooth contractible affine threefolds},
author = {Adrien Dubouloz and Lucy Moser-Jauslin and Pierre-Marie Poloni},
journal= {arXiv preprint arXiv:1004.4723},
year = {2015}
}