Naive $\mathbb{A}^1$-connectedness of retract rational varieties
Algebraic Geometry
2023-07-11 v1 Algebraic Topology
K-Theory and Homology
Abstract
A smooth, proper, retract rational variety over a field is known to be -connected. We improve on this result, in the case when is infinite, showing that such varieties are naively -connected.
Keywords
Cite
@article{arxiv.2307.04371,
title = {Naive $\mathbb{A}^1$-connectedness of retract rational varieties},
author = {Chetan Balwe and Bandna Rani},
journal= {arXiv preprint arXiv:2307.04371},
year = {2023}
}
Comments
14 pages, comments are welcome