Skip to main content
Log in

Syntomic regulators and special values of p-adic L-functions

Inventiones mathematicae Aims and scope

Abstract.

In this paper p-adic analogs of the Lichtenbaum Conjectures are proven for abelian number fields F and odd prime numbers p, which generalize Leopoldt's p-adic class number formula, and express special values of p-adic L-functions in terms of orders of K-groups and higher p-adic regulators. The approach uses syntomic regulator maps, which are the p-adic equivalent of the Beilinson regulator maps. They can be compared with étale regulators via the Fontaine-Messing map, and computations of Bloch-Kato in the case that p is unramified in F lead to results about generalized Coates-Wiles homomorphisms and cyclotomic characters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

Oblatum 14-V-96 & 9-X-97

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kolster, M., Do, T. Syntomic regulators and special values of p-adic L-functions. Invent math 133, 417–447 (1998). https://doi.org/10.1007/s002220050250

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002220050250

Keywords

Navigation