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The Mordell Conjecture
- A Complete Proof from Diophantine Geometry
Engelsk
Bogcover for The Mordell Conjecture af Hideaki Ikoma, Atsushi Moriwaki, Shu Kawaguchi, 9781108845953
Specifikationer
Sprog:
Engelsk
Sider:
150
ISBN-13:
9781108845953
Indbinding:
Hardback
ISBN-10:
1108845959
Kategori:
Udg. Dato:
3 feb 2022
Størrelse i cm:
15,8 x 23,4 x 1,7
Oplagsdato:
3 feb 2022
Genre:

The Mordell Conjecture

- A Complete Proof from Diophantine Geometry
Engelsk
Hardback 2022
Format:

Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
150
ISBN-13:
9781108845953
Indbinding:
Hardback
ISBN-10:
1108845959
Kategori:
Udg. Dato:
3 feb 2022
Størrelse i cm:
15,8 x 23,4 x 1,7
Oplagsdato:
3 feb 2022
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