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On the center of the ring of differential operators on a smooth variety over ℤ/pnℤ
Published online by Cambridge University Press: 31 October 2012
Abstract
We compute the center of the ring of PD differential operators on a smooth variety over ℤ/pnℤ, confirming a conjecture of Kaledin (private communication). More generally, given an associative algebra A0 over ℤp 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.
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- Copyright © The Author(s) 2012
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