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VOL. 60 | 2010 Elliptic surfaces
Matthias Schütt, Tetsuji Shioda

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

Abstract

This survey paper concerns elliptic surfaces with section. We give a detailed overview of the theory including many examples. Emphasis is placed on rational elliptic surfaces and elliptic K3 surfaces. To this end, we particularly review the theory of Mordell–Weil lattices and address arithmetic questions.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1216.14036
MathSciNet: MR2732092

Digital Object Identifier: 10.2969/aspm/06010051

Subjects:
Primary: 14J27
Secondary: 06B05 , 11G05 , 11G07 , 11G50 , 14J20 , 14J26 , 14J28

Keywords: Elliptic curve , elliptic surface , K3 surface , Mordell–Weil group , Mordell–Weil lattice , Néron–Severi group , singular fibre , Tate algorithm

Rights: Copyright © 2010 Mathematical Society of Japan

PROCEEDINGS ARTICLE
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