English

Stable $\A^1$-connectedness

K-Theory and Homology 2012-09-04 v2 Algebraic Geometry Algebraic Topology

Abstract

We prove in this note a stabilized version of a conjecture on \A1\A^1-connectedness. For the stabilized version of this conjecture, we introduce the notion of stable \A1\A^1-connectedness, which is can be seen as the stabilization of \A1\A^1-connectedness. The notion of stable \A1\A^1-connectedness is in connection to the existence of zero cycles of degree one rather than rational points.

Keywords

Cite

@article{arxiv.1208.5415,
  title  = {Stable $\A^1$-connectedness},
  author = {Nguyen Le Dang Thi},
  journal= {arXiv preprint arXiv:1208.5415},
  year   = {2012}
}

Comments

Short note for a stabilized version of a conjecture on $\A^1$-connectedness. 4 pages, comments welcome!

R2 v1 2026-06-21T21:55:49.175Z