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math.NT1999
The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field
Atsushi Moriwaki
This paper is the sequel of our paper "Arithmetic height functions over finitely generated fields" (cf. math.NT/9809016). In this paper, we define the canonical height of subvariet…
math.NT1999
A generalization of conjectures of Bogomolov and Lang over finitely generated fields
Atsushi Moriwaki
Let K be a finitely generated field over Q, and A an abelian variety over K. Let <, > : A(K^a) x A(K^a) --> R be an arithmetic height pairing on A, where K^a is the algebric closur…
math.AG1999
The continuity of Deligne's pairing
Atsushi Moriwaki
In this short note, we will show that the metric of Deligne's pairing is continous.