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arXiv · 2302.05485

Geometric and arithmetic aspects of rational elliptic surfaces

Renato Dias Costa
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Abstract

PhD dissertation consists in three lines of investigation involving rational elliptic surfaces, namely 1) a study of conic bundles on these surfaces; 2) an investigation of the possible intersection numbers of two sections and 3) a theorem regarding the set of fibers whose Mordell-Weil ranks are at least 3 units higher than the generic rank of the elliptic fibration.

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Renato Dias Costa. 2023-02-10. Geometric and arithmetic aspects of rational elliptic surfaces. https://arxiv.org/abs/2302.05485

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