| Abstract: Generalizing both [LZ14] and [SV24,SaV] we prove the interpolation property at Artin characters of Kupferer's [Ku] regulator map over a fixed local field L over Q_p for p any prime. Since our methods cover the case p=2, we in particular close a gap in the literature even for the (cyclotomic) 2-variable regulator map from [LZ14]. Moreover, we study big (dual) Bloch-Kato exponential maps for unramified towers and we use them to improve Colmez' reciprocity law in the Lubin-Tate setting from [SaV]. |