4 papers
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…
Semi-integral points of bounded height on toric varieties
Alec Shute, Sam Streeter
We prove asymptotics for semi-integral points of bounded height on toric varieties. We verify the Manin-type conjecture of Pieropan, Smeets, Tanimoto and Várilly-Alvarado for smoot…
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…