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Families of exotic affine 3-spheres

Authors :
Dubouloz, Adrien
Publication Year :
2016

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.

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1610.01409
Document Type :
Working Paper