Moderate rank jumps on rational elliptic surfaces via construction of conics

Fuente: arXiv
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Autore principale: Desjardins, Julie
Natura: Preprint
Pubblicazione: 2025
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author Desjardins, Julie
author_facet Desjardins, Julie
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02548
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Moderate rank jumps on rational elliptic surfaces via construction of conics
Desjardins, Julie
Number Theory
Algebraic Geometry
14H52, 11G05
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.
title Moderate rank jumps on rational elliptic surfaces via construction of conics
topic Number Theory
Algebraic Geometry
14H52, 11G05
url https://arxiv.org/abs/2512.02548