Families of exotic affine 3-spheres
Algebraic Geometry
2016-10-06 v1
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.
Keywords
Cite
@article{arxiv.1610.01409,
title = {Families of exotic affine 3-spheres},
author = {Adrien Dubouloz},
journal= {arXiv preprint arXiv:1610.01409},
year = {2016}
}