On the torsion part in the K-theory of imaginary quadratic fields

We obtain upper bounds for the torsion in the <i>K</i>-groups of the ring of integers of imaginary quadratic number fields, in terms of their discriminants.

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Publication Details

Journal
manuscripta mathematica
Published
2024-10-09
DOI
https://doi.org/10.1007/s00229-024-01598-4
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

On the torsion part in the K-theory of imaginary quadratic fields

Vincent Emery
manuscripta mathematica
Algebraic Geometry and Number Theory
article

On the torsion part in the K-theory of imaginary quadratic fields

Vincent Emery
article en

Abstract

We obtain upper bounds for the torsion in the <i>K</i>-groups of the ring of integers of imaginary quadratic number fields, in terms of their discriminants.

manuscripta mathematicaVol. 175(3-4)
University of Bern (CH), Bern University of Applied Sciences (CH)
National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Berner Fachhochschule
Reduced inequalities
Openalex Percentile: Top 72%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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On the torsion part in the K-theory of imaginary quadratic fields — Vincent Emery · manuscripta mathematica (2024) | TGRS Research Map | TGRS