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Currently displaying 1 – 2 of 2

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Varietà proiettive complesse lisce con sezioni iperpiane riducibili di tipo speciale

Andrea Luigi Tironi — 2007

Bollettino dell'Unione Matematica Italiana

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

Davide Fusi; Andrea Luigi Tironi — 2010

Bollettino dell'Unione Matematica Italiana

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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