## Correction to the paper "Classical motivic polylogarithm according to Beilinson and Deligne"

### Summary

Summary: The Hodge theoretic appendix of our paper 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 $A(n), n \ge 1)$, this correction has no effect on the main text of our paper.

### Mathematics Subject Classification

19F27, 11R18, 11R34, 11R42, 14D07, 14F99

### Keywords/Phrases

polylogarithm, motivic and absolute cohomology, regulators, cyclotomic elements