The higher K-theory of complex varieties

Claudio Pedrini; Charles Weibel

doi:10.1023/A:1007884714599

The higher K-theory of complex varieties

Claudio Pedrini, Charles Weibel

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Let X be a smooth complex variety, and let F be its function field. We prove that (after localizing at the prime 2) 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 language	English (US)
Pages (from-to)	367-385
Number of pages	19
Journal	K-Theory
Volume	21
Issue number	4
DOIs	https://doi.org/10.1023/A:1007884714599
State	Published - Dec 2000

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Algebraic K-theory
Complex varieties
Topological K-theory
Étale cohomology

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10.1023/A:1007884714599

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title = "The higher K-theory of complex varieties",

abstract = "Let X be a smooth complex variety, and let F be its function field. We prove that (after localizing at the prime 2) 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.",

keywords = "Algebraic K-theory, Complex varieties, Topological K-theory, {\'E}tale cohomology",

author = "Claudio Pedrini and Charles Weibel",

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T1 - The higher K-theory of complex varieties

AU - Pedrini, Claudio

AU - Weibel, Charles

PY - 2000/12

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N2 - Let X be a smooth complex variety, and let F be its function field. We prove that (after localizing at the prime 2) 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.

AB - Let X be a smooth complex variety, and let F be its function field. We prove that (after localizing at the prime 2) 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.

KW - Algebraic K-theory

KW - Complex varieties

KW - Topological K-theory

KW - Étale cohomology

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DO - 10.1023/A:1007884714599

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VL - 21

SP - 367

EP - 385

JO - K-Theory

JF - K-Theory

IS - 4

ER -

The higher K-theory of complex varieties

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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