A cascade of determinantal Calabi--Yau threefolds

Mathematics – Algebraic Geometry

Scientific paper

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corrected hodge numbers of two families

Scientific paper

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
K\"{a}hler--Mori cone.

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