Holmstrom p-adic regulator

Choo and Snaith compares various constructions. Looks good. Good refs.

The p-adic regulator of Huber and Kings.

See maybe also Kanetomo Sato on arxiv and elsewhere.

Georg Tamme on various comparison results: http://front.math.ucdavis.edu/1111.4109

arXiv:1004.1357 Characteristic classes for p-adic étale Tate twists and the image of p-adic regulators from arXiv Front: math.KT by Kanetomo Sato In this paper, we construct Chern class maps and cycle class maps with values in p-adic étale Tate twists [S2]. We also relate the p-adic étale Tate twists with the finite part of Bloch-Kato. As an application, we prove that the integral part of p-adic regulator maps has values in the finite part of Galois cohomology under certain assumptions.

Check arxiv preprints of Ambrus Pal for rigid analytic regulator on K2 and special values.

Check arxiv and other places for de Jeu and Besser, for syntomic regulators.

MR0891420 (88h:11077) Federer, Leslie Jane(1-OKS) The nonvanishing of Gross’ $p$-adic regulator Galois cohomologically. Journées arithmétiques de Besançon (Besançon, 1985). Astérisque No. 147-148 (1987), 71–77, 343.

MR1427624 (98a:14031) Niziol, Wieslawa(1-CHI) On the image of $p$-adic regulators. Invent. Math. 127 (1997), no. 2, 375–400.

MR2231958 (2007d:19007) Asakura, Masanori(J-KYUSGM) Surjectivity of $p$-adic regulators on $K\sb 2$ of Tate curves.

nLab page on p-adic regulator