THE EXPLICIT MORDELL CONJECTURE FOR FAMILIES OF CURVES

In this article we prove the explicit Mordell Conjecture for large families of curves. In addition, we introduce a method, of easy application, to compute all rational points on curves of quite general shape and increasing genus. The method bases on some explicit and sharp estimates for the height o...

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Bibliographic Details
Main Authors: SARA CHECCOLI, FRANCESCO VENEZIANO, EVELINA VIADA
Format: Article
Language:English
Published: Cambridge University Press 2019-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509419000203/type/journal_article