English

$p$-adic Cocycles and their Regulator Maps

Algebraic Topology 2009-04-22 v1 K-Theory and Homology

Abstract

We derive a power series formula for the pp-adic regulator on the higher dimensional algebraic K-groups of number fields. This formula is designed to be well suited to computer calculations and to reduction modulo powers of pp. In addition we describe a series of regulator questions concerning higher dimensional K-theoretic analogues of conjectures of Gross and Serre.

Keywords

Cite

@article{arxiv.0904.3300,
  title  = {$p$-adic Cocycles and their Regulator Maps},
  author = {Zacky Choo and Victor Snaith},
  journal= {arXiv preprint arXiv:0904.3300},
  year   = {2009}
}
R2 v1 2026-06-21T12:53:41.075Z