  We extend the classical duality results of Poitou and Tate for finite
discrete Galois modules over local and global fields (local duality, nine-term
exact sequence, etc.) to all affine commutative group schemes of finite type,
building on the recent work of \v{C}esnavi\v{c}ius extending these results to
all finite commutative group schemes. We concentrate mainly on the more
difficult function field setting, giving some remarks about the number field
case along the way.
