K2-regularity and normality
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.
Fields of Study & Subjects
Advanced Banach Space Theory
Publication details
- Journal / source
- Annals of K-Theory
- Volume
- 11
- Issue
- 3
- Pages
- 543–553
- Publication date
- 5 September 2026
- Language
- EN