K₂-regularity and normality

2025/01/02 by Haesemeyer, Christian, Weibel, Charles A.
#14F20 #19D35 (Primary) #19E20 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2501.01567

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 K₂-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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