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The Mordell Conjecture

The Mordell Conjecture

A Complete Proof from Diophantine Geometry

Hideaki Ikoma, Shu Kawaguchi, Atsushi Moriwaki

Cambridge University Press
Publication date : 2022-02-03

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The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell–Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole.

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About the book

Author

Hideaki Ikoma , Shu Kawaguchi , Atsushi Moriwaki

Imprint

Cambridge University Press

Collection

n.c

Publication date

2022-02-03

Pages

n.c

Print ISBN

9781108845953

Language

English

Ebook informations

EAN PDF

9781108998192

Price

£69.63

Copy count 0

Print count 0

File size 1649 Ko

Informations accessibility

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About author(s)

Hideaki Ikoma

Shu Kawaguchi

Atsushi Moriwaki

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