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

Published 13 Jan 2021 in math.AG, math.AT, and math.KT | (2101.04951v2)

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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