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arXiv · 1208.5415

Stable $\A^1$-connectedness

Nguyen Le Dang Thi
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Abstract

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

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Nguyen Le Dang Thi. 2012-08-27. Stable $\A^1$-connectedness. https://arxiv.org/abs/1208.5415

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