Height inequality of algebraic points on curves over functional fields

Mathematics – Algebraic Geometry

Scientific paper

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14 pages, AmSTeX 2.1 This paper will appear in J. reine angew. Math

Scientific paper

The purpose of this paper is to give a linear and effective height inequality
for algebraic points on curves over functional fields. Our height inequality
can be viewed as the logarithmic canonical class inequality of a punctured
curve over a functional field (a fibered surface minus a section).

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