Deformation quantization of a Kaehler-Poisson structure vanishing on a Levi nondegenerate hypersurface

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We give an elementary proof of the result by Leichtnam, Tang, and Weinstein that there exists a deformation quantization with separation of variables on a complex manifold endowed with a Kaehler-Poisson structure vanishing on a Levi nondegenerate hypersurface and nondegenerate on its complement.
12 pages

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