Let $ G$ be a commutative group scheme of finite type over an algebraically closed field $ k$ of characteristic zero, with an embedding $ k\subset\mathbf{C}$ . Is every torsion element of $ G(\mathbf{C})$ defined over $ k$ ? That is, do we have $ G(\mathbf{C})_{\rm tor} = G(k)_{\rm tor}$ ?Read more