Mordell Conjecture - A Complete Proof From Diophantine Geometry

This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) - one of the most important achievements in Diophantine geometry - alongside a concise introduction to the field of Diophantine geometry itself, at a level suitable for advanced undergraduate students and graduate students.

List of contents

1. What is the Mordell conjecture?; 2. Some basics of algebraic number theory; 3. Theory of heights; 4. Preliminaries; 5. The proof of Falthing's theorem.

About the author

Hideaki Ikoma is Lecturer in the Faculty of Education at Shitennoji University.Shu Kawaguchi is Professor in the Department of Mathematical Sciences at Doshisha University. He was awarded the Young Scientists' Prize by the Ministry of Education, Culture, Sports, Science and Technology of Japan in 2010.Atsushi Moriwaki is Professor in the Department of Mathematics at Graduate School of Science, Kyoto University. He is the author of Arakelov Geometry (2014) and co-author of Arakelov Geometry over Adelic Curves (2020), and was awarded the Autumn Prize of the Mathematical society of Japan in 2001.

Summary

This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) - one of the most important achievements in Diophantine geometry - alongside a concise introduction to the field of Diophantine geometry itself, at a level suitable for advanced undergraduate students and graduate students.

Product details

• Authors: Hideaki Ikoma, Hideaki Kawaguchi Ikoma, Shu Kawaguchi, Shu (Doshisha University Kawaguchi, Atsushi Moriwaki, Atsushi (Kyoto University Moriwaki, Moriwaki Atsushi
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.11.2021
• EAN: 9781108845953
• ISBN: 978-1-108-84595-3
• No. of pages: 150
• Series: Cambridge Tracts in Mathematics; Cambridge Tracts in Mathematic
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Number Theory, Number Theory