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arxiv: 0802.3669 · v3 · submitted 2008-02-25 · 🧮 math.AG

A cascade of determinantal Calabi--Yau threefolds

classification 🧮 math.AG
keywords calabi--yauthreefoldsdeterminantalapplicationcascadecomputeconecorresponding
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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 K\"{a}hler--Mori cone.

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