The ABC theorem for higher-dimensional function fields

Liang-Chung Hsia; Julie Tzu-Yueh Wang

doi:10.1090&#x2f;S0002-9947-03-03363-4

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The ABC theorem for higher-dimensional function fields

Journal article

Peer reviewed

The ABC theorem for higher-dimensional function fields

Liang-Chung Hsia and Julie Tzu-Yueh Wang

Transactions of the American Mathematical Society, Vol.356(7), pp.2871-2887

07/2004

DOI: https://doi.org/10.1090/S0002-9947-03-03363-4

Abstract

ABC theorem

Diophantine approximation

Function fields

Mathematics (all)

Applied Mathematics

We generalize the ABC theorems to the function field of a variety over an algebraically closed field of arbitrary characteristic which is non-singular in codimension one. We also obtain an upper bound for the minimal order sequence of Wronskians over such function fields of positive characteristic.

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Title: The ABC theorem for higher-dimensional function fields
Translated title: The ABC theorem for higher-dimensional function fields
Creators - without role: Liang-Chung Hsia - Department of Mathematics , National Central University
Julie Tzu-Yueh Wang - Institute of Mathematics, Academia Sinica
Publication Details: Transactions of the American Mathematical Society, Vol.356(7), pp.2871-2887
Identifiers: 9957776347806774
Academic Unit: Department of Mathematics, College of Science, National Tsing Hua University
Language: English
Resource Type: Journal article

The ABC theorem for higher-dimensional function fields

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