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math.NT1998
Arithmetic height functions over finitely generated fields
Atsushi Moriwaki
In this paper, we propose a new height function for a variety defined over a finitely generated field over Q. For this height function, we will prove Northcott's theorem and Bogomo…
math.AG1998
Intersection pairing for arithmetic cycles with degenerate Green currents
Atsushi Moriwaki
In this note, we would like to propose a suitable extension of the arithmetic Chow group of codimension one, in which the Hodge index theorem holds. We also prove an arithmetic ana…