The Mordell conjecture : a complete proof from diophantine geometry / Hideaki Ikoma, Atsushi Moriwaki, Shu Kawaguchi.

Format:

Book

Author/Creator:

Ikoma, Hideaki, author.

Moriwaki, Atsushi, 1960- author.

Kawaguchi, Shu, author.

Series:

Cambridge tracts in mathematics ; 226.

Cambridge tracts in mathematics ; 226

Language:

English

Subjects (All):

Mordell conjecture.

Physical Description:

vii, 169 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.

Summary:

"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"-- Provided by publisher.

Notes:

Includes bibliographical references and index.

Other Format:

Online version: Moriwaki, Atsushi, 1960- Mordell conjecture

ISBN:

9781108845953

1108845959

OCLC:

1261774533