  In an (Anti-) de Sitter space and a charged black hole the Schwinger effect
is either enhanced by the Hawking radiation or suppressed by the negative
curvature. We use the contour integral method to calculate the production of
charged pairs in the global (A)dS space. The charge emission from near-extremal
black hole is found from the AdS geometry near the horizon and interpreted as
the Schwinger effect in a Rindler space with the surface gravity for the
acceleration as well as the Schwinger effect in AdS space.
