$p$-adic Cocycles and their Regulator Maps

Details $p$-adic Cocycles and their Regulator Maps $p$-adic Cocycles and their Regulator Maps

2009-04-21

arxiv.org/abs/0904.3300v1

Mathematics

Algebraic Topology

Scientific paper

We derive a power series formula for the $p$-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 $p$. In
addition we describe a series of regulator questions concerning higher
dimensional K-theoretic analogues of conjectures of Gross and Serre.

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