The Higher K-Theory of a Complex Surface

نویسنده

  • CLAUDIO PEDRINI
چکیده

LetX be a smooth complex variety of dimension at most two, and let F be its function ¢eld. We prove that the K -groups of F are divisible above the dimension of X, and that the K-groups of X are divisible-by-¢nite.We also describe the torsion in the K -groups of F and X. Mathematics Subject Classi¢cations (2000). Primary: 19E08; secondary: 19E20, 14C35, 14F20.

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تاریخ انتشار 1999