Families of \mathbb{A}^1-contractible affine threefolds
Algebraic Geometry
2015-12-08 v1
Abstract
We provide families of affine threefolds which are contractible in the unstable -homotopy category of Morel-Voevodsky and pairwise non-isomorphic, thus answering a question of A. Asok and B. Doran. As a particular case, we show that the Koras-Russell threefolds of the first kind are contractible, extending results of M. Hoyois, A. Krishna and P. A. Ostvaer.
Keywords
Cite
@article{arxiv.1512.01933,
title = {Families of \mathbb{A}^1-contractible affine threefolds},
author = {Adrien Dubouloz and Jean Fasel},
journal= {arXiv preprint arXiv:1512.01933},
year = {2015}
}
Comments
10 pages, comments are welcome