Abstract
We study Calabi-Yau manifolds that are embedded as hypersurfaces in products of semi-ample complex surfaces. We classify the deformation classes of the latter and thereby achieve a classification of the Calabi-Yau manifolds that are constructed in this way. Complementing the results in the existing literature, we obtain the complete Hodge diamond for all Calabi-Yau hypersurfaces in products of semi-ample surfaces.
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Communicated by S.-T. Yau
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Green, P., Hübsch, T. Calabi-Yau hypersurfaces in products of semi-ample surfaces. Commun.Math. Phys. 115, 231–246 (1988). https://doi.org/10.1007/BF01466771
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DOI: https://doi.org/10.1007/BF01466771