1. $K_2$-regularity and normality
- Author
-
Haesemeyer, Christian and Weibel, Charles A.
- Subjects
Mathematics - Algebraic Geometry ,Mathematics - K-Theory and Homology ,19D35 (Primary), 14F20, 19E20 (Secondary) - 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., Comment: 10 pages
- Published
- 2025