Manin's proof of the Mordell conjecture over function fields
type: Item
instance of: scholarly article
title: Manin's proof of the Mordell conjecture over function fields
zbMATH Open document ID: 0729.14018
author: Robert F. Coleman
published in: L'Enseignement Mathématique. 2e Série
publication date: 1990-01-01T00:00:00Z
review text: The author rediscusses Manin's proof of Mordell's conjecture over function fields [see \textit{Yu. I. Manin}, Transl., Ser. 2, Am. Math. Soc. 50, 189-234 (1966); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 27, 1395-1440 (1963; Zbl 0166.169)] in modern language. In this process he also fills a gap in Manin's proof of the theorem of the kernel. It is interesting to note that the way in which he fills this gap makes Manin's proof of the Mordell conjecture over function fields completely algebraic.
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14H05
zbMATH DE Number: 4204538
zbMATH Keywords: Mordell's conjecture over function fields
zbMATH Keywords: theorem of the kernel
reviewed by: Lucian Bădescu
MaRDI profile type: Publication
Recommended article: Mordell's conjecture over function fields
Recommended article: Q4212160
Recommended article: The Mordell-Lang conjecture for function fields
Recommended article: The Mordell-Bombieri-Noguchi conjecture over function fields
Recommended article: A proof of the Mahler-Manin conjecture
Recommended article: Q4539780
Recommended article: ON THE MERTENS CONJECTURE FOR FUNCTION FIELDS
Recommended article: On the higher dimensional Mordell conjecture over function fields
Recommended article: Q5593721
Recommended article: The proof of the Mordell conjecture
description: scientific article; zbMATH DE number 4204538