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Article

On the centre of the ring of differential operators on a smooth variety over Z/p^nZ

Compositio Mathematica. 2013. Vol. 149. P. 63-80.
Vologodsky V., Stewart A.
We compute the center of the ring of PD differential operators on a smooth variety over $\bZ/p^n\bZ$ confirming a conjecture of Kaledin. More generally, given an associative algebra A0 over $\bF_p$ and its flat deformation An over $\bZ/p^{n+1}\bZ$ we prove that under a certain non-degeneracy condition the center of An is isomorphic to the ring of length n+1 Witt vectors over the center of A0.