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arXiv · 2307.04371

Naive $\mathbb{A}^1$-connectedness of retract rational varieties

Chetan Balwe·Bandna Rani
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Abstract

A smooth, proper, retract rational variety over a field $k$ is known to be $\mathbb{A}^1$-connected. We improve on this result, in the case when $k$ is infinite, showing that such varieties are naively $\mathbb{A}^1$-connected.

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Chetan Balwe, Bandna Rani. 2023-07-10. Naive $\mathbb{A}^1$-connectedness of retract rational varieties. https://arxiv.org/abs/2307.04371

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