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arXiv · 1610.01409

Families of exotic affine 3-spheres

Adrien Dubouloz
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Abstract

We construct algebraic families of exotic affine 3-spheres, that is, smooth affine threefolds diffeomorphic to a non-degenerate smooth complex affine quadric of dimension 3 but non algebraically isomorphic to it. We show in particular that for every smooth topologically contractible affine surface S with trivial automorphism group, there exists a canonical smooth family of pairwise non isomorphic exotic affine 3-spheres parametrized by the closed points of S.

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Adrien Dubouloz. 2016-10-05. Families of exotic affine 3-spheres. https://arxiv.org/abs/1610.01409

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