9 citations · 18 across the 9 of their papers we have counts for
9 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…
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…
Semi-integral Brauer-Manin obstruction and quadric orbifold pairs
Vladimir Mitankin, Masahiro Nakahara, Sam Streeter
We study local-global principles for two notions of semi-integral points, termed Campana points and Darmon points. In particular, we develop a semi-integral version of the Brauer-M…
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…
Weak approximation and the Hilbert property for Campana points
Masahiro Nakahara, Sam Streeter
We study weak approximation and the Hilbert property for Campana points, both of importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and Varilly-Alva…
Campana points and powerful values of norm forms
Sam Streeter
We give an asymptotic formula for the number of weak Campana points of bounded height on a family of orbifolds associated to norm forms for Galois extensions of number fields. From…
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…