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math.NT2025
Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle
Yongqi Liang, Yufan Liu
On varieties defined over number fields, we consider obstructions to the Hasse principle given by subgroups of their Brauer groups. Given an arbitrary pair of non-zero finite abeli…
math.NT2023
Hasse principle violation for algebraic families of del Pezzo surfaces of degree 4 and hyperelliptic curves of genus congruent to 1 modulo 4
Kai Huang, Yongqi Liang
Let g be a positive integer congruent to 1 modulo 4 and K be an arbitrary number field. We construct infinitely many explicit one-parameter algebraic families of degree 4 del Pezzo…