New perspectives on $p$-adic regulator formulae
Number Theory
2026-01-12 v1
Abstract
We generalise the proof of the -adic regulator formula for Asai--Flach classes to the finite slope case, without using finite polynomial cohomology. Moreover, we simplify the analogous computation for diagonal classes, relying on a pullback construction inspired by recent work of Sangiovanni-Vincentelli--Skinner.
Keywords
Cite
@article{arxiv.2601.05406,
title = {New perspectives on $p$-adic regulator formulae},
author = {Ting-Han Huang and Ananyo Kazi and Luca Marannino},
journal= {arXiv preprint arXiv:2601.05406},
year = {2026}
}
Comments
38 pages, comments welcome!