Unramified cohomology, $\A^1$-connectedness, and Chevalley-Warning problem in Grothendieck ring

Mathematics – Algebraic Geometry

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The correct hypothesis for Thm. 1.7 is added. Comments are welcome

Scientific paper

We study aspects of the relationship between the "geometric"
Chevalley-Warning problem over various fields and unramified cohomology under
the light of $\A^1$-homotopy theory.

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