4 papers
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…
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…
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 with characteristic given by , with , and $\tex…
Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one
Julie Desjardins, Rosa Winter
The blow-up of the anticanonical base point on a del Pezzo surface of degree 1 gives rise to a rational elliptic surface with only irreducible fibers. The section…