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1 - What Is the Mordell Conjecture (Faltings’s Theorem)?

Published online by Cambridge University Press:  13 January 2022

Hideaki Ikoma ,
Shu Kawaguchi  and
Atsushi Moriwaki
Hideaki Ikoma
Affiliation:
Shitennoji University, Osaka
Shu Kawaguchi
Affiliation:
Doshisha University, Kyoto
Atsushi Moriwaki
Affiliation:
Kyoto University, Japan
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Summary

Chapter 1 is a gentle introduction of the Mordell conjecture for beginners ofDiophantine geometry. We explain what the Mordell conjecture is, its brief history and its importance in current mathematics.

Keywords

Diophantine geometryDiohantusMordellShafarevich conjectureTate conjectureFaltingsFaltings’s theoremgenusLang’s conjecture
Type
Chapter
Information
The Mordell Conjecture
A Complete Proof from Diophantine Geometry
 , pp. 1 - 5
Publisher: Cambridge University Press
Print publication year: 2022

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