ON THE CENTER OF THE RING OF DIFFERENTIAL OPERATORS ON A SMOOTH VARIETY OVER Z/pZ

Abstract

We compute the center of the ring of PD differential operators on a smooth variety over Z/pnZ confirming a conjecture of Kaledin ([K]). More generally, given an associative algebra A0 over Fp and its flat deformation An over Z/pn+1Z 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.

Cite this paper

@inproceedings{Stewart2012ONTC, title={ON THE CENTER OF THE RING OF DIFFERENTIAL OPERATORS ON A SMOOTH VARIETY OVER Z/pZ}, author={Allen J Stewart and VADIM VOLOGODSKY}, year={2012} }