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K2-Regularity and Normality of Schemes

Results relating algebraic K-regularity to geometric regularity: K2-regular Noetherian Q-algebras with finite normalization are normal, and Kp+1-regular affine local complete intersections over a characteristic-zero field are regular in codimension 2p, sharpening Vorst's bound via cyclic homology and higher du Bois singularities.

Demerzel Text

K2-REGULARITY AND NORMALITY CHRISTIAN HAESEMEYER AND CHARLES A. WEIBEL Abstract. We take a fresh

This algebraic K-theory paper studies the relationship between K-regularity and geometric regularity of schemes. A ring R is Kn-regular when the relative groups NKs(R)=Ks(R[t])/Ks(R) vanish for all s…