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In the absence of local lifting obstructions, the global obstruction lies in a Tate{Shafarevich
group that can be analyzed via Tate duality. But we want more, namely to preserve local
properties of ...
It is proved that the Nagata automorphism (Nagata coordinates, respectively) of the polynomial algebra $F[x,y,z]$ over a field $F$ cannot be lifted to a $z$-automorphism ($z$-coordinate, respectively...