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5 - Effective Results over Function Fields

Published online by Cambridge University Press:  31 August 2022

Jan-Hendrik Evertse
Affiliation:
Universiteit Leiden
Kálmán Győry
Affiliation:
Debreceni Egyetem, Hungary
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Summary

We recall the basics for function fields of characteristic 0, state and prove the Mason–Stothers abc-theorem for function fields, and deduce effective finiteness results for various classes of Diophantine equations.

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