On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five
Fusi, Davide ; Tironi, Andrea Luigi
Bollettino dell'Unione Matematica Italiana, Tome 3 (2010), p. 363-379 / Harvested from Biblioteca Digitale Italiana di Matematica
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Let E⁢(K) be the Mordell-Weil group of a rational elliptic surface and let r be its rank. In this note we classify all the rational elliptic surfaces with Mordell-Weil group of rank r=5 over an algebraically closed field of arbitrary characteristic and using the theory of Mordell-Weil lattices, we find systems of generators for E⁢(K) in the coordinate-free situation.

Publié le : 2010-06-01
@article{BUMI_2010_9_3_2_363_0,
     author = {Davide Fusi and Andrea Luigi Tironi},
     title = {On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3},
     year = {2010},
     pages = {363-379},
     zbl = {1200.14069},
     mrnumber = {2666364},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2010_9_3_2_363_0}
}

Fusi, Davide; Tironi, Andrea Luigi. On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five. Bollettino dell'Unione Matematica Italiana, Tome 3 (2010) pp. 363-379. http://gdmltest.u-ga.fr/item/BUMI_2010_9_3_2_363_0/

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