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2018 An explicit basis for the rational higher Chow groups of abelian number fields
Matthew Kerr, Yu Yang
Ann. K-Theory 3(2): 173-191 (2018). DOI: 10.2140/akt.2018.3.173

Abstract

We review and simplify A. Beĭlinson’s construction of a basis for the motivic cohomology of a point over a cyclotomic field, then promote the basis elements to higher Chow cycles and evaluate the KLM regulator map on them.

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Matthew Kerr. Yu Yang. "An explicit basis for the rational higher Chow groups of abelian number fields." Ann. K-Theory 3 (2) 173 - 191, 2018. https://doi.org/10.2140/akt.2018.3.173

Information

Received: 28 August 2016; Revised: 27 April 2017; Accepted: 23 July 2017; Published: 2018
First available in Project Euclid: 4 April 2018

zbMATH: 06861671
MathSciNet: MR3781425
Digital Object Identifier: 10.2140/akt.2018.3.173

Subjects:
Primary: 14C25 , 14C30 , 19E15

Keywords: Abel–Jacobi map , Beĭlinson regulator , Borel's theorem , higher Chow group , polylogarithms

Rights: Copyright © 2018 Mathematical Sciences Publishers

Vol.3 • No. 2 • 2018
MSP
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