Atsushi Moriwaki - Mordell Conjecture : A Complete Proof from Diophant

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About this Item

The item is a book Hardback
The Author Name is Atsushi Moriwaki
The Title is The Mordell Conjecture : A Complete Proof from Diophantine Geometry

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New Store Stock
Category - Mathematics


Product Description -
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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