Journal article
K-theory of line bundles and smooth varieties
C Haesemeyer, C Weibel
Proceedings of the American Mathematical Society | AMER MATHEMATICAL SOC | Published : 2018
DOI: 10.1090/proc/14112
Abstract
We give a K-theoretic criterion for a quasi-projective variety to be smooth. If L is a line bundle corresponding to an ample invertible sheaf on X, it suffices that Kq (X) ≅ Kq (L) for all q ≤ dim(X) +1.
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Grants
Awarded by National Science Foundation
Funding Acknowledgements
[ "The first author was supported by ARC DP-170102328.", "The second author was supported by NSF grant DMS-146502." ]