The K-Theory of Vector bundles with Endomorphisms over a Scheme, by Dongyuan Yao

We give a description of the K-theory of the category of vector bundles with endomorphisms over a scheme, which generalizes those of D. Grayson when the scheme is affine. Then we give an example showing that the Mayer-Vietoris sequence does not hold for the K-theory of vector bundles with endomorphisms, which indicates that the K-theory of vector bundles with endomorphisms is a global theory (not determined by local data).

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