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- W1550489291 abstract "We provide a sufficient condition for a general hypersurface in a $mathbb Q$-Fano toric variety to be a Calabi-Yau variety in terms of its Newton polytope. Moreover, we define a generalization of the Berglund-Hubsch-Krawitz construction in case the ambient is a $mathbb Q$-Fano toric variety with torsion free class group and the defining polynomial is not necessarily of Delsarte type. Finally, we introduce a duality between families of Calabi-Yau hypersurfaces which includes both Batyrev and Berglund-Hubsch-Krawitz mirror constructions. This is given in terms of a polar duality between pairs of polytopes $Delta_1subseteq Delta_2$, where $Delta_1$ and $Delta_2^*$ are canonical." @default.
- W1550489291 created "2016-06-24" @default.
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- W1550489291 date "2015-01-22" @default.
- W1550489291 modified "2023-09-23" @default.
- W1550489291 title "Families of Calabi-Yau hypersurfaces in $mathbb Q$-Fano toric varieties" @default.
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