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math.NT2025
On the Hasse Principle for conic bundles over even degree extensions
Sam Roven, Alexander Wang
Let be a number field and let be a smooth conic bundle. We show that if has four geometric singular fibers and either $X(\mathbb{A}_…
math.NT2022
Weak approximation on Châtelet surfaces
Masahiro Nakahara, Samuel Roven
We study weak approximation for Châtelet surfaces over number fields when all singular fibers are defined over rational points. We consider Châtelet surfaces which satisfy weak app…
math.NT2022
On the Hasse Principle for conic bundles over even degree extensions
Sam Roven
Let be a number field and let be a smooth conic bundle. We show that if has four geometric singular fibers with $X(\mathbb{A}_k)\ne…