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K₂-regularity and normality

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arxiv 2501.01567 v2 pith:6A3C3GOU submitted 2025-01-02 math.AG math.KT

K₂-regularity and normality

Christian Haesemeyer , Charles A. Weibel This is my paper
classification math.AG math.KT
keywords regularityaffinealgebrasboisboundcasecharacteristiccomplete
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Negative $K$-theory and Hodge theory

    math.AG 2026-07 conditional novelty 7.0

    For complex varieties with klt or rational singularities, negative K-theory is shown to be governed by mixed Hodge weights and higher singularity types, with new proof in dimension three and partial results in dimension four.

  2. Negative $K$-theory and Hodge theory

    math.AG 2026-07 unverdicted novelty 5.0

    Negative K-groups of complex varieties are analyzed via mixed Hodge theory, higher singularities, Chow groups, and the Minimal Model Program.