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K-theory of line bundles and smooth varieties

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 Publication date 2017
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and research's language is English




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We give a $K$-theoretic criterion for a quasi-projective variety to be smooth. If $mathbb{L}$ is a line bundle corresponding to an ample invertible sheaf on $X$, it suffices that $K_q(X) = K_q(mathbb{L})$ for all $qledim(X)+1$.



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