The Mordell Conjecture: A Complete Proof from Diophantine Geometry

ISBN-13: 9781108845953 / Angielski / Twarda / 2022 / 178 str.

Atsushi Moriwaki; Hideaki Ikoma; Shu Kawaguchi

Opis

This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) and a concise introduction to Diophantine geometry.

Recenzje

'This concisely written book is a splendid achievement and an indispensable contribution to the mathematical literature on Faltings' theorem and the Bombieri-Vojta approach. It has most definitely succeeded in its intent of giving a compact and complete exposition of its subject matter, namely the elementary proof of one the fundamental results of twentieth-century mathematics.' Jeroen Sijsling, zbMATH

Spis treści

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.