A(1)-contractibility of affine modifications
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | A(1)-contractibility of affine modifications |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Dubouloz A, Pauli S, Ostvaer PArne |
| Journal | INTERNATIONAL JOURNAL OF MATHEMATICS |
| Volume | 30 |
| Pagination | 1950069 |
| Date Published | DEC |
| Type of Article | Article |
| ISSN | 0129-167X |
| Mots-clés | A(1)-contractible smooth affine schemes, affine modifications, Brieskorn-Pham surfaces, deformed Koras-Russell threefolds with degenerate fibers, higher Chow groups, motivic cohomology, Motivic homotopy theory |
| Résumé | We introduce Koras-Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine A(1)-contractible 3-folds. Moreover, we give examples of stably A(1)-contractible smooth affine 4-folds containing a Brieskorn-Pham surface, and a family of smooth affine 3-folds with a higher-dimensional A(1)-contractible total space. |
| DOI | 10.1142/S0129167X19500691 |