The Mordell Conjecture Av Hideaki Ikoma, Shu (Doshisha University Kyoto) Kawaguchi, Atsushi (Kyoto University Japan) Moriwaki

The Mordell Conjecture Av Hideaki Ikoma, Shu (Doshisha University Kyoto) Kawaguchi, Atsushi (Kyoto University Japan) Moriwaki

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....
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Produktinformasjon

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.

Spesifikasjon

Produkt
ProduktnavnIkoma Hideaki The Mordell Conjecture
MerkeOther Brand
book typMatematikk og naturfag

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