arXiv Analytics

Sign in

arXiv:1809.01895 [math.AG]AbstractReferencesReviewsResources

Notes on A^1-contractibility and A^1-excision

Yuri Shimizu

Published 2018-09-06Version 1

We prove that a smooth scheme of dimension $n$ over a perfect field is A^1-weakly equivalent to a point if it is A^1-n-connected. We also prove an excision result for A^1-homotopy sheaves over a perfect field.

Categories: math.AG, math.AT, math.KT
Related articles: Most relevant | Search more
arXiv:math/0402010 [math.AG] (Published 2004-02-02, updated 2005-05-16)
Ramification theory for varieties over a perfect field
arXiv:2304.05328 [math.AG] (Published 2023-04-11)
Del Pezzo surfaces of degree $5$ over perfect fields
arXiv:2107.05543 [math.AG] (Published 2021-07-12)
Conics meeting eight lines over perfect fields

Links

Toolbox