7 citations · 19 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Density of rational points on a family of del Pezzo surfaces of degree one
Julie Desjardins, Rosa Winter
Let be an infinite field of characteristic 0, and a del Pezzo surface of degree with at least one -rational point. Various methods from algebraic geometry and arithm…
Elliptic fibrations on covers of the elliptic modular surface of level 5
Francesca Balestrieri, Julie Desjardins, Alice Garbagnati +3
We consider the K3 surfaces that arise as double covers of the elliptic modular surface of level 5, . Such surfaces have a natural elliptic fibration induced by the fibrat…
On the density of rational points on rational elliptic surfaces
Julie Desjardins
Let be a non-trivial rational elliptic surface over with base (with a section). We conjecture…