Elliptic Surfaces

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Original languageEnglish
Pages (from-to)51 - 160
JournalAdvanced Studies in Pure Mathematics
Issue number60
Publication statusPublished - 2 Jul 2009

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)

Cite this

Elliptic Surfaces. / Shioda, Tetsuji; Schütt, Matthias.
In: Advanced Studies in Pure Mathematics, No. 60, 02.07.2009, p. 51 - 160.

Research output: Contribution to journalArticleResearchpeer review

Shioda, T & Schütt, M 2009, 'Elliptic Surfaces', Advanced Studies in Pure Mathematics, no. 60, pp. 51 - 160.
Shioda, T., & Schütt, M. (2009). Elliptic Surfaces. Advanced Studies in Pure Mathematics, (60), 51 - 160.
Shioda T, Schütt M. Elliptic Surfaces. Advanced Studies in Pure Mathematics. 2009 Jul 2;(60):51 - 160.
Shioda, Tetsuji ; Schütt, Matthias. / Elliptic Surfaces. In: Advanced Studies in Pure Mathematics. 2009 ; No. 60. pp. 51 - 160.
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