## Correction to the paper “Classical motivic polylogarithm according to Beilinson and Deligne”.(English)Zbl 0906.19005

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.

### MSC:

 19F27 Étale cohomology, higher regulators, zeta and $$L$$-functions ($$K$$-theoretic aspects) 11R18 Cyclotomic extensions 11R34 Galois cohomology 11R42 Zeta functions and $$L$$-functions of number fields 14D07 Variation of Hodge structures (algebro-geometric aspects) 14F99 (Co)homology theory in algebraic geometry

Zbl 0906.19004
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