The K - Theory of Schemes with EndomorphismsIs a Global

نویسنده

  • Dongyuan Yao
چکیده

We show that when X = P 1 k , the projective line over the eld k, with the open covering fX 0 = Spec(kx]); X 1 = Spec(ky])g, the Mayer-Vietoris sequence of the K-theory of the schemes with endo-morphisms for the covering is not exact for all K i when i = 2n + 1 and n 1. This leads to the conclusion that the K-theory of schemes with endomorphisms is a global theory.

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تاریخ انتشار 2007