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math.AG2025
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…
math.AG2024
Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces
Julian Lawrence Demeio, Sam Streeter, Rosa Winter
We prove that del Pezzo surfaces of degree over a field satisfy weak weak approximation if is a number field and the Hilbert property if is Hilbertian of characteri…