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math.AG2022
The Brauer-Manin obstruction for stacky curves
Tim Santens
We show that the Brauer-Manin obstruction is the only obstruction to strong approximation for all stacky curves over global fields with finite abelian fundamental groups. This incl…
math.AG2022★ 1 cited
Diagonal quartic surfaces with a Brauer-Manin obstruction
Tim Santens
In this paper we investigate the quantity of diagonal quartic surfaces which have a Brauer-Manin obstruction to the Hasse princip…
math.AG2020★ 1 cited
Integral points on affine quadric surfaces
Tim Santens
It is well-known that the Hasse principle holds for quadric hypersurfaces. The Hasse principle fails for integral points on smooth quadric hypersurfaces of dimension 2 but the fail…