K-theory of line bundles and smooth varieties

C. Haesemeyer, C. Weibel

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)4139-4150
Number of pages12
JournalProceedings of the American Mathematical Society
Volume146
Issue number10
DOIs
StatePublished - Jan 1 2018

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Projective Variety
K-theory
Line Bundle
Sheaves
Invertible

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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K-theory of line bundles and smooth varieties. / Haesemeyer, C.; Weibel, C.

In: Proceedings of the American Mathematical Society, Vol. 146, No. 10, 01.01.2018, p. 4139-4150.

Research output: Contribution to journalArticle

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