國立虎尾科技大學 |

The mordell conjecture : = a complete proof from diophantine geometry /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The mordell conjecture :/ Hideaki 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,
Description:	1 online resource (vii, 169 pages) :digital, PDF file(s). :
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 (ebook)

The mordell conjecture : = a complete proof from diophantine geometry /
Ikoma, Hideaki,

The mordell conjecture :a complete proof from diophantine geometry /Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University. - 1 online resource (vii, 169 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;226. - Cambridge tracts in mathematics ;203..

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 (ebook)Subjects--Topical Terms:

1405847
Mordell conjecture.

LC Class. No.: QA565 / .I36 2022

Dewey Class. No.: 516.3/52

The mordell conjecture : = a complete proof from diophantine geometry /
LDR:02027nam a2200289 i 4500 001 1125966
003 UkCbUP
005 20220118224947.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2022||||enk o ||1 0|eng|d
020 $a 9781108991445 (ebook)
020 $z 9781108845953 (hardback)
035 $a CR9781108991445
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA565 $b .I36 2022
082 0 0 $a 516.3/52 $2 23
100 1 $a Ikoma, Hideaki, $e author. $3 1444494
245 1 4 $a The mordell conjecture : $b a complete proof from diophantine geometry / $c Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University.
264 1 $a Cambridge : $b Cambridge University Press, $c 2022.
300 $a 1 online resource (vii, 169 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge tracts in mathematics ; $v 226
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 1405847
700 1 $a Kawaguchi, Shu, $e author. $3 1444495
700 1 $a Moriwaki, Atsushi, $d 1960- $e author. $3 1444496
776 0 8 $i Print version: $z 9781108845953
830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/9781108991445