On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five

Davide Fusi; Andrea Luigi Tironi

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 2, page 363-379
  • ISSN: 0392-4041

How to cite

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Fusi, Davide, and Tironi, Andrea Luigi. "On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five." Bollettino dell'Unione Matematica Italiana 3.2 (2010): 363-379. <http://eudml.org/doc/290670>.

@article{Fusi2010,
author = {Fusi, Davide, Tironi, Andrea Luigi},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {363-379},
publisher = {Unione Matematica Italiana},
title = {On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five},
url = {http://eudml.org/doc/290670},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Fusi, Davide
AU - Tironi, Andrea Luigi
TI - On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/6//
PB - Unione Matematica Italiana
VL - 3
IS - 2
SP - 363
EP - 379
LA - eng
UR - http://eudml.org/doc/290670
ER -

References

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  1. BOURBAKI, N., Groupes et Algèbres de Lie, Chap. 4, 5 et 6, Hermann, Paris, 1968. MR573068
  2. CONWAY, J. - SLOANE, N., Sphere packings, Lattices and Groups. Grund. Math. Wiss., 290 (Springer-Verlag, 1988). Zbl0634.52002MR920369DOI10.1007/978-1-4757-2016-7
  3. FUSI, D., Construction of linear pencils of cubic curves with Mordell-Weil rank six and seven. Comment. Math. Univ. St. Paul., 55, no. 2 (2006), 195-205. Zbl1132.14034MR2294928
  4. MANIN, JU., The Tate height of points on an Abelian variety, its invariant and applications. Ivz. Akad. Nauk SSSR Ser. mat., 28 (1964), 1363-1390; A.M.S. Transl. (2), 59 (1966), 82-110. MR173676
  5. MIRANDA, R., The basic theory of elliptic surfaces, Dottorato di Ricerca in Matematica [Doctorate in Mathematical Research] ETS Editrice, Pisa, 1989. Zbl0744.14026MR1078016
  6. OGUISO, K. - SHIODA, T., The Mordell-Weil lattice of a rational elliptic surface. Comment. Math. Univ. St. Paul., 40, no. 1 (1991), 83-99. Zbl0757.14011MR1104782
  7. SHIODA, T., On the Mordell-Weil Lattices. Comment. Math. Univ. St. Paul., 39, no. 2 (1990), 211-240. Zbl0725.14017MR1081832

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