Non cancellation for smooth contractible affine threefolds

Details Non cancellation for smooth contractible affine threefolds Non cancellation for smooth contractible affine threefolds

2010-04-27

arxiv.org/abs/1004.4723v1

Mathematics

Algebraic Geometry

Scientific paper

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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