Families of exotic affine 3-spheres
| Affiliation auteurs | Affiliation ok |
| Titre | Families of exotic affine 3-spheres |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Dubouloz A |
| Journal | EUROPEAN JOURNAL OF MATHEMATICS |
| Volume | 4 |
| Pagination | 212-222 |
| Date Published | MAR |
| Type of Article | Article |
| ISSN | 2199-675X |
| Mots-clés | Exotic affine spheres, Kodaira dimension, Serre construction, Topologically contractible surfaces |
| Résumé | 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. |
| DOI | 10.1007/s40879-017-0136-6 |