A Gelfand-Beurling formula for heights on endomorphism rings
Number Theory
2007-05-23 v1
Abstract
In this paper we prove a limit formula for heights on the endomorphism ring of a vector space over a number field. This limit formula can be considered as the analogue for both the Gelfand-Beurling formula for the spectral radius on a Banach Algebra and Tate's averaging procedure for constructing canonical heights on Abelian Varieties.
Keywords
Cite
@article{arxiv.math/9912251,
title = {A Gelfand-Beurling formula for heights on endomorphism rings},
author = {Valerio Talamanca},
journal= {arXiv preprint arXiv:math/9912251},
year = {2007}
}