QUEST Leibniz Research School

Elliptic Surfaces

authored by: Tetsuji Shioda, Matthias Schütt
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.
Organisation(s): Institute of Algebraic Geometry
Type: Article
Journal: Advanced Studies in Pure Mathematics
Pages: 51 - 160
Publication date: 02.07.2009
Publication status: Published
Peer reviewed: Yes

BibTeX

@article{50caa4a5aeb1467d88dbf0370bd75b51,
title = "Elliptic Surfaces",
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. ",
keywords = "math.AG, math.NT, 14J27 (Primary), 06B05, 11G05, 11G07, 11G50, 14J20, 14J26, 14J28 (Secondary)",
author = "Tetsuji Shioda and Matthias Sch{\"u}tt",
note = "93 pages; ",
year = "2009",
month = jul,
day = "2",
language = "English",
pages = "51 -- 160",
journal = "Advanced Studies in Pure Mathematics",
number = "60",
}

Last Change: 09.02.23; Dr. A. Wanner Print