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Calabi-Yau manifolds of some special forms

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Abstract

Let M=M 1×...×M m be a product of Kähler C-spaces with second Betti numbers b 2(M i )=1 (1≤i≤m). The work establishes that the complete intersections X of M produce a finite number of N-dimensional Calabi-Yau manifolds. Moreover, if b 4(M i )=1, then the complete intersections with vanishing first Pontrjagin classes are finitely many, as well.

On the other hand, we consider hypersurfaces of weighted projective spaces and give an explicit formula for their Euler characteristics. As in the previous case, it turns out that only a finite number of these are Calabi-Yau manifolds.

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  1. Algebra Section, Mathematics Institute, Bulgarian Academy of Sciences, PO Box 373, 1090, Sofia, Bulgaria

    Azniv Kasparian

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  1. Azniv Kasparian
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Kasparian, A. Calabi-Yau manifolds of some special forms. Letters in Mathematical Physics 15, 171–174 (1988). https://doi.org/10.1007/BF00397839

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  • DOI: https://doi.org/10.1007/BF00397839

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