9 citations · 18 across the 9 of their papers we have counts for
5 papers · 1 filter
Inverse curve problems on del Pezzo surfaces
Enis Kaya, Stephen McKean, Sam Streeter +1
We classify the number of -rational lines and conic fibrations on del Pezzo surfaces over a field in terms of relatively minimal surfaces and establish rational curve analog…
Hilbert property for low-genus families and degree-one del Pezzo surfaces
Julian Demeio, Sam Streeter, Rosa Winter
We prove that the Hilbert property is satisfied by certain del Pezzo surfaces of degree one and Picard rank 1 over fields finitely generated over . We generalize result…
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…
Weak approximation for del Pezzo surfaces of low degree
Julian Lawrence Demeio, Sam Streeter
We prove, via an "arithmetic surjectivity" approach inspired by work of Denef, that weak weak approximation holds for surfaces with two conic fibrations satisfying a general assump…
Hilbert property for double conic bundles and del Pezzo varieties
Sam Streeter
In this paper we prove that, over a Hilbertian ground field, surfaces with two conic fibrations whose fibres have non-zero intersection product have the Hilbert property. We then g…