J. Desjardins

collaborators

3 papers

math.NT2025

Moderate rank jumps on rational elliptic surfaces via construction of conics

Julie Desjardins

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, Salg…

math.AG2025

Construction and Applications of Trisections of Low Genus on Del Pezzo Surfaces of Degree One

Julie Desjardins, Vojin Jovanovic

Consider a rational elliptic surface over a field $k$ with characteristic $0$ given by $E : y^{2} = x^{3} + f (t) x + g (t)$ , with $f, g \in k [t]$ , $deg (f) \leq 4$ and $\tex…

math.AG2024

Generalized Eckardt points on del Pezzo surfaces of degree 1

Julie Desjardins, Yu Fu, Kelly Isham +1

We study intersections of exceptional curves on del Pezzo surfaces of degree 1, motivated by questions in arithmetic geometry. Outside characteristics 2 and 3, at most 10 exception…