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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Mordell Conjecture: A Complete Proof from Diophantine Geometry

The Mordell Conjecture: A Complete Proof from Diophantine Geometry

Moriwaki, Atsushi
Ikoma, Hideaki
Kawaguchi, Shu

Hardcover

Series: Cambridge Tracts in Mathematics, Book 226

General MathematicsGeometry

ISBN10: 1108845959
ISBN13: 9781108845953
Publisher: Cambridge University Press
Published: Feb 3 2022
Pages: 150
Weight: 0.80
Height: 0.50 Width: 6.30 Depth: 9.20
Language: English
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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