Height inequality of algebraic points on curves over functional fields

1995/02/14 by Sheng-Li Tan, Tan, Sheng-Li
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9502011

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

arxiv created 1995/02/14 · arxiv updated 2009/11/30

Abstract

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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