Correction to the paper ``Classical motivic polylogarithm according to Beilinson and Deligne''
type: Item
instance of: scholarly article
title: Correction to the paper ``Classical motivic polylogarithm according to Beilinson and Deligne''
zbMATH Open document ID: 0906.19005
author: Jörg Wildeshaus
author: Annette Huber-Klawitter
published in: Documenta Mathematica
publication date: 1999-02-07T00:00:00Z
full work available at URL: https://eudml.org/doc/229494
full work available at URL: 12.html
review text: Summary: The Hodge theoretic appendix of our paper [ibid. 3, 27-133 (1998; Zbl 0906.19004)] contains results (A.2.10, A.2.11) about the explicit shape of the groups of one-extensions in the category of Hodge structures. Regrettably, they are incorrect in general. Here, we give the right formulae. Since they coincide with the old ones for Hodge structures of strictly negative weights (e.g., Tate twists \(A(n)\), \(n \geq 1\)), this correction has no effect on the main text of our paper.
Mathematics Subject Classification ID: 19F27
Mathematics Subject Classification ID: 11R18
Mathematics Subject Classification ID: 11R34
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 14D07
Mathematics Subject Classification ID: 14F99
zbMATH DE Number: 1247373
zbMATH Keywords: category of Hodge structures
zbMATH Keywords: polylogarithm
zbMATH Keywords: motivic cohomology
zbMATH Keywords: absolute cohomology
zbMATH Keywords: regulators
zbMATH Keywords: cyclotomic elements
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1247373