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arXiv · 2501.01567

$K_2$-regularity and normality

Christian Haesemeyer·Charles A. Weibel
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Abstract

We take a fresh look at the relationship between $K$-regularity and regularity of schemes, proving two results in this direction. First, we show that $K_2$-regular affine algebras over fields of characteristic zero are normal. Second, we improve on Vorst's $K$-regularity bound in the case of local complete intersections; this is related to recent work on higher du Bois singularities.

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Christian Haesemeyer, Charles A. Weibel. 2025-02-10. $K_2$-regularity and normality. https://doi.org/10.2140/akt.2026.11.543

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