On the heights of algebraic points on curves over number fields

Details On the heights of algebraic points on curves over number fields On the heights of algebraic points on curves over number fields

2007-02-06

arxiv.org/abs/math/0702141v1

Mathematics

Algebraic Geometry

Scientific paper

We consider heights of horizontal irreducible divisors on an arithmetic
surface with respect to some hermitian line bundle. We obtain both lower and
upper bounds for these heights. The results are different and sometimes
stronger that those of S.Zhang on the same question. The case of the relative
dualizing sheaf with the Arakelov metric is made especially explicit.

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