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On the deformation theory of Calabi-Yau structures in strongly pseudo-convex manifolds

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Abstract

We study the deformation theory of Calabi-Yau structures in strongly pseudo-convex manifolds with trivial canonical bundles. Our approach could be considered as an alternative proof for a theorem of H. Laufer on the deformation of strongly pseudo-convex surfaces.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran

    Alireza Bahraini

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  1. Alireza Bahraini
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Correspondence to Alireza Bahraini.

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Bahraini, A. On the deformation theory of Calabi-Yau structures in strongly pseudo-convex manifolds. Bull Braz Math Soc, New Series 41, 409–420 (2010). https://doi.org/10.1007/s00574-010-0019-7

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  • DOI: https://doi.org/10.1007/s00574-010-0019-7

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