A Height Inequality

Details A Height Inequality A Height Inequality

2009-01-20

arxiv.org/abs/0901.3042v2

Mathematics

Algebraic Geometry

This is a revision of the previous version. A mistake is found in the previous version. Total 35 pages.

Scientific paper

We introduce a notion of quasi arithmetic differentials with similar
properties as the traditional differential forms. And we prove a height
inequality in both number field case and function field case by the constuction
of quasi arithmetic differentials with same method.

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