A cascade of determinantal Calabi--Yau threefolds
arXiv:0802.3669
Abstract
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