A1 contractibility of affine modifications
Algebraic Geometry
2018-05-24 v1 Algebraic Topology
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.
Cite
@article{arxiv.1805.08959,
title = {A1 contractibility of affine modifications},
author = {Adrien Dubouloz and Sabrina Pauli and Paul Arne Østvær},
journal= {arXiv preprint arXiv:1805.08959},
year = {2018}
}