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arXiv · 2101.04951

Zeroth $\mathbb{A}^1$-homology of smooth proper varieties

Junnosuke Koizumi
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Abstract

We give an explicit formula for the zeroth $\mathbb{A}^1$-homology sheaf of a smooth proper variety. We also provide a simple proof of a theorem of Kahn-Sujatha which describes hom sets in the birational localization of the category of smooth varieties.

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BibTeXRIS

Junnosuke Koizumi. 2021-01-13. Zeroth $\mathbb{A}^1$-homology of smooth proper varieties. https://arxiv.org/abs/2101.04951

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