Fusi, Davide and Tironi, Andrea Luigi:
On Rational Elliptic Surfaces with Mordell-Weil Group of Rank Five
Bollettino dell'Unione Matematica Italiana Serie 9 3 (2010), fasc. n.2, p. 363-379, (English)
pdf (574 Kb), djvu (294 Kb). | MR 2666364 | Zbl 1200.14069
Sunto
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.
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