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math.AG2025
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…
math.AG2025
Ramified descent
Julian Lawrence Demeio
We investigate the "ramified descent problem": which adelic points of a smooth geometrically connected variety defined over a number field can be approximated by points tha…
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…