A Gelfand-Beurling formula for heights on endomorphism rings

Details A Gelfand-Beurling formula for heights on endomorphism rings A Gelfand-Beurling formula for heights on endomorphism rings

1999-12-07

arxiv.org/abs/math/9912251v1

Mathematics

Number Theory

Scientific paper

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.

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