The higher K-theory of a complex surface

Authors
Pedrini, C Weibel, C
Citation
C. Pedrini et C. Weibel, The higher K-theory of a complex surface, COMP MATH, 129(3), 2001, pp. 239-271
Citations number
37
Categorie Soggetti
Mathematics
Journal title
COMPOSITIO MATHEMATICA
ISSN journal
0010437X → ACNP
Volume
129
Issue
3
Year of publication
2001
Pages
239 - 271
Database
ISI
SICI code
0010-437X(200112)129:3<239:THKOAC>2.0.ZU;2-9
Abstract
Let X be a smooth complex variety of dimension at most two, and let F be it s function field. We prove that the K-groups of F are divisible above the d imension 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.