A cascade of determinantal Calabi--Yau threefolds
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We study Kustin--Miller unprojections of Calabi--Yau threefolds. As an application we work out the geometric properties of Calabi--Yau threefolds defined as linear sections of determinantal varieties. We compute their Hodge numbers and describe the morphisms corresponding to the faces of their Kähler--Mori cone.
corrected hodge numbers of two families
corrected hodge numbers of two families