English

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

Quantum Algebra 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0608070,
  title  = {Deformation quantization of a Kaehler-Poisson structure vanishing on a Levi nondegenerate hypersurface},
  author = {Alexander V. Karabegov},
  journal= {arXiv preprint arXiv:math/0608070},
  year   = {2007}
}

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12 pages