2 papers
math.AG2025
Weak weak approximation for certain quadric surface bundles
Nick Rome
We investigate weak approximation away from a finite set of places for a class of biquadratic fourfolds inside , some of which appear in the recen…
math.NT2024
The leading constant for rational points in families
Daniel Loughran, Nick Rome, Efthymios Sofos
We prove asymptotics for Serre's problem on the number of diagonal planar conics with a rational point and use this to put forward a new conjecture on counting the number of variet…