Families of Calabi-Yau hypersurfaces in $\mathbb{Q}$-Fano toric varieties

Michela Artebani, Paola Comparin, Robin Guilbot

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 g…