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math.NT2022★ 1 cited
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…
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…