Moderate rank jumps on rational elliptic surfaces via construction of conics
Number Theory
2025-12-03 v1 Algebraic Geometry
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.
Cite
@article{arxiv.2512.02548,
title = {Moderate rank jumps on rational elliptic surfaces via construction of conics},
author = {Julie Desjardins},
journal= {arXiv preprint arXiv:2512.02548},
year = {2025}
}
Comments
11 pages, comments welcome