Families of \mathbbA¹-contractible affine threefolds

2015/12/07 by Dubouloz, Adrien, Fasel, Jean · 1 citation
#14D06 #14R10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.01933

Abstract

We provide families of affine threefolds which are contractible in the unstable \mathbb A¹-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.

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