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The mordell conjecturea complete proof from diophantine geometry /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mordell conjectureHideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University.
Reminder of title:	a complete proof from diophantine geometry /
Author:	Ikoma, Hideaki.
other author:	Kawaguchi, Shu.
Published:	Cambridge :Cambridge University Press,2022.
Description:	vii, 169 p. :ill., digital ;23 cm.
Notes:	Title from publisher's bibliographic system (viewed on 13 Jan 2022).
Subject:	Mordell conjecture.
Online resource:	https://doi.org/10.1017/9781108991445
ISBN:	9781108991445$q(electronic bk.)

The mordell conjecturea complete proof from diophantine geometry /
Ikoma, Hideaki.

The mordell conjecturea complete proof from diophantine geometry /[electronic resource] :Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University. - Cambridge :Cambridge University Press,2022. - vii, 169 p. :ill., digital ;23 cm. - Cambridge tracts in mathematics ;226. - Cambridge tracts in mathematics ;96..

Title from publisher's bibliographic system (viewed on 13 Jan 2022).

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.

ISBN: 9781108991445$q(electronic bk.)Subjects--Topical Terms:

467142
Mordell conjecture.

LC Class. No.: QA565 / .I36 2022

Dewey Class. No.: 516.352

The mordell conjecturea complete proof from diophantine geometry /
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500 $a Title from publisher's bibliographic system (viewed on 13 Jan 2022).
520 $a 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.
650 0 $a Mordell conjecture. $3 467142
700 1 $a Kawaguchi, Shu. $3 930585
700 1 $a Moriwaki, Atsushi. $3 861058
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856 4 0 $u https://doi.org/10.1017/9781108991445