Moderate rank jumps on rational elliptic surfaces via construction of conics

Julie Desjardins

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arXiv · 2512.02548

Moderate rank jumps on rational elliptic surfaces via construction of conics

Julie Desjardins

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Abstract

This note is devoted to studying certain families of elliptic surfaces with infinitely many fibers with rank at least 3 or 4 revisiting and combining ideas from of Gary Walsh, Salgado and Loughran, and the author.

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Julie Desjardins. 2025-12-02. Moderate rank jumps on rational elliptic surfaces via construction of conics. https://arxiv.org/abs/2512.02548

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