The Higher K-Theory of a Complex Surface

Claudio Pedrini, Charles Weibel

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Let X be a smooth complex variety of dimension at most two, and let F be its function field. 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-finite. We also describe the torsion in the K-groups of F and X.

Original languageEnglish (US)
Pages (from-to)239-271
Number of pages33
JournalCompositio Mathematica
Volume129
Issue number3
DOIs
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Algebraic K-theory
  • Complex surface
  • Deligne-Beilinson cohomology
  • Higher Chow groups

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