Bogdan Zavyalov Bogdan Zavyalov This user account status is Approved About About Posts Posts Comments Comments A related question I am curious about. Let $G$ be a finitely presented flat commutative group scheme over $S=\mathrm{Spec} A$… On Finite flat commutative group schemes embed locally into abelian schemes Hi Ben, Nice post! But I think it is a bit easier to construct examples when $\mathrm{H}^i_{fppf}(X, \alpha_p)$ is infinite… On A proper scheme with infinite-dimensional fppf cohomology There is a smooth projective connected variety with $\mathrm{Pic}^0_{X/k}\cong G$ for any connected finite commutative group scheme $G/k$. Or, more… On An example of a non-reduced Picard scheme Thanks! Updated the post. On A non-Noetherian local ring with finitely generated maximal ideal