3 papers
math.AG2026
Comparing local-global obstructions on algebraic stacks
Chang Lv, Han Wu, Xucheng Zhang
Let k be a number field. For quotient stacks [X/G] with X a smooth quasi-projective geometrically integral k-variety and G a linear k-group, we extend several relations between loc…
math.AG2026
Descent and Brauer-Manin Obstructions on Deligne-Mumford Stacks
Donghao Li, Sheng Liu, Chang Lv +1
We generalize and compare local-global obstructions for algebraic stacks over number fields. For smooth separated Deligne-Mumford stacks of finite type with a quasi-projective coar…
math.NT2024
Iterated descent obstructions for algebraic stacks
Han Wu, Chang Lv
Base on a conjecture, we prove that for any smooth separated stack of finite type over a number field, its descent obstruction equals its iterated descent obstruction. As a consequ…