Details
| Original language | English |
|---|---|
| Title of host publication | Mordell–Weil Lattices |
| Publisher | Springer Verlag |
| Pages | 145-159 |
| Number of pages | 15 |
| Edition | 1. |
| ISBN (electronic) | 978-981-32-9301-4 |
| ISBN (print) | 978-981-32-9300-7, 978-981-32-9303-8 |
| Publication status | Published - 17 Oct 2019 |
Publication series
| Name | Ergebnisse der Mathematik und ihrer Grenzgebiete - 3. Folge / A Series of Modern Surveys in Mathematics |
|---|---|
| Volume | 70 |
| ISSN (Print) | 0071-1136 |
| ISSN (electronic) | 2197-5655 |
Abstract
As the first application of the general results developed in the previous chapter, we study the Mordell–Weil lattices of rational elliptic surfaces with section. It will be seen that these lattices form a hierarchy dominated by the root lattice. Further we see that the information supplied from the lattice structure has a very strong consequence for the original Diophantine problem of a Mordell-Weil group (e.g. about its generators).
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
Cite this
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Mordell–Weil Lattices. 1. ed. Springer Verlag, 2019. p. 145-159 (Ergebnisse der Mathematik und ihrer Grenzgebiete - 3. Folge / A Series of Modern Surveys in Mathematics; Vol. 70).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Rational Elliptic Surfaces
AU - Schütt, Matthias
AU - Shioda, Tetsuji
PY - 2019/10/17
Y1 - 2019/10/17
N2 - As the first application of the general results developed in the previous chapter, we study the Mordell–Weil lattices of rational elliptic surfaces with section. It will be seen that these lattices form a hierarchy dominated by the root lattice. Further we see that the information supplied from the lattice structure has a very strong consequence for the original Diophantine problem of a Mordell-Weil group (e.g. about its generators).
AB - As the first application of the general results developed in the previous chapter, we study the Mordell–Weil lattices of rational elliptic surfaces with section. It will be seen that these lattices form a hierarchy dominated by the root lattice. Further we see that the information supplied from the lattice structure has a very strong consequence for the original Diophantine problem of a Mordell-Weil group (e.g. about its generators).
UR - http://www.scopus.com/inward/record.url?scp=85074639747&partnerID=8YFLogxK
U2 - 10.1007/978-981-32-9301-4_7
DO - 10.1007/978-981-32-9301-4_7
M3 - Contribution to book/anthology
AN - SCOPUS:85074639747
SN - 978-981-32-9300-7
SN - 978-981-32-9303-8
T3 - Ergebnisse der Mathematik und ihrer Grenzgebiete - 3. Folge / A Series of Modern Surveys in Mathematics
SP - 145
EP - 159
BT - Mordell–Weil Lattices
PB - Springer Verlag
ER -