Abstract
Let A 1 be an Azumaya algebra over a smooth affine symplectic variety X over Spec F p , where p is an odd prime. Let A be a deformation quantization of A 1 over the p-adic integers. In this note we show that for all n ≥ 1, the Hochschild cohomology of A/p n A is isomorphic to the de Rham-Witt complex \(W_{n}{\Omega }^{\ast }_{X}\) of X over \(\mathbb {Z}/p^{n}\mathbb {Z}\). We also compute the center of deformations of certain affine Poisson varieties over F p .
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Presented by Michel Van den Bergh.
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Tikaradze, A. Hochschild Cohomology of Deformation Quantizations over ℤ/p nℤ. Algebr Represent Theor 19, 209–214 (2016). https://doi.org/10.1007/s10468-015-9570-7
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DOI: https://doi.org/10.1007/s10468-015-9570-7