Abstract
Let $\mathscr {E}$ be a rational elliptic surface over a number field~$k$. We study the interplay between a geometric property, the configuration of its singular fibers, and arithmetic features such as its Mordell-Weil rank over the base field and its possible minimal models over~$k$.
Citation
Cec[! \' i!]lia Salgado. "Arithmetic and geometry of rational elliptic surfaces." Rocky Mountain J. Math. 46 (6) 2061 - 2076, 2016. https://doi.org/10.1216/RMJ-2016-46-6-2061
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