Lattices

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  • Rikkyo University
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Details

Original languageEnglish
Title of host publicationMordell–Weil Lattices
EditorsMatthias Schütt, Tetsuji Shioda
Place of PublicationSingapur
PublisherSpringer Singapore
Pages9-37
Number of pages29
Edition1.
ISBN (electronic)978-981-32-9301-4
ISBN (print)978-981-32-9300-7
Publication statusPublished - 17 Oct 2019

Publication series

NameErgebnisse der Mathematik und ihrer Grenzgebiete
Volume70
ISSN (Print)0071-1136
ISSN (electronic)2197-5655

Abstract

In this chapter, we fix the terminology concerning lattices used in this book. Moreover, we review some elementary facts and properties, augmented by more specific results and constructions which will be relevant in later chapters. Special emphasis is laid on even definite lattices (especially root lattices of ADE-type), and on the relation to the sphere packing problem.

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Cite this

Lattices. / Schütt, Matthias; Shioda, Tetsuji.
Mordell–Weil Lattices . ed. / Matthias Schütt; Tetsuji Shioda. 1. ed. Singapur: Springer Singapore, 2019. p. 9-37 (Ergebnisse der Mathematik und ihrer Grenzgebiete; Vol. 70).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Schütt, M & Shioda, T 2019, Lattices. in M Schütt & T Shioda (eds), Mordell–Weil Lattices . 1. edn, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 70, Springer Singapore, Singapur, pp. 9-37. https://doi.org/10.1007/978-981-32-9301-4_2
Schütt, M., & Shioda, T. (2019). Lattices. In M. Schütt, & T. Shioda (Eds.), Mordell–Weil Lattices (1. ed., pp. 9-37). (Ergebnisse der Mathematik und ihrer Grenzgebiete; Vol. 70). Springer Singapore. https://doi.org/10.1007/978-981-32-9301-4_2
Schütt M, Shioda T. Lattices. In Schütt M, Shioda T, editors, Mordell–Weil Lattices . 1. ed. Singapur: Springer Singapore. 2019. p. 9-37. (Ergebnisse der Mathematik und ihrer Grenzgebiete). doi: 10.1007/978-981-32-9301-4_2
Schütt, Matthias ; Shioda, Tetsuji. / Lattices. Mordell–Weil Lattices . editor / Matthias Schütt ; Tetsuji Shioda. 1. ed. Singapur : Springer Singapore, 2019. pp. 9-37 (Ergebnisse der Mathematik und ihrer Grenzgebiete).
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