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An
explicit basis for the rational higher Chow groups of abelian
number fields
Matt Kerr and Yu Yang |
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Vol. 3 (2018), No. 2, 173–191
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Abstract |
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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. |
Keywords
higher Chow group, Abel–Jacobi map, polylogarithms,
Beĭlinson regulator, Borel's theorem
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Mathematical Subject Classification 2010
Primary: 14C25, 14C30, 19E15
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Milestones
Received: 28 August 2016
Revised: 27 April 2017
Accepted: 23 July 2017
Published: 24 March 2018
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Authors |
| Matt Kerr | |
| Department of Mathematics Washington University in St. Louis St. Louis, MO United States |
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| Yu Yang | |
| Department of Mathematics Washington University in St. Louis St. Louis, MO United States |
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