A1 contractibility of affine modifications

Abstract

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 A1-contractible 3-folds. Moreover, we give examples of stably A1-contractible smooth affine 4-folds containing a Brieskorn-Pham surface, and a family of smooth affine 3-folds with a higher dimensional A1-contractible total space.

References in corpus (1)

• Existence and properties of geometric quotients

Cited by in corpus (1)

• Exotic Ga-quotients of SL${}_2\times {\mathbb{A}}^1$