  We prove that every symplectic toric orbifold is a centered reduction of a
Cartesian product of weighted projective spaces. A theorem of Abreu and
Macarini shows that if the level set of the reduction passes through a
non-displaceable set then the image of this set in the reduced space is also
non-displaceable. Using this result we show that every symplectic toric
orbifold contains a non-displaceable fiber and we identify this fiber.

Symplectic Geometry