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Non-smoothable Calabi-Yau threefolds from reflexive polytopes

Wuebben, Bernd Johannes
arXiv (All) · Papers
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14m25algebraic-geometry
We construct projective Calabi-Yau threefolds with isolated Gorenstein canonical singularities that admit no smoothing, as anticanonical hypersurfaces in Gorenstein Fano toric fourfolds. One example has a unique singularity, the anticanonical cone over the first Hirzebruch surface. Another has a uni
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