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arxiv: 1102.3623 · v1 · pith:746VF5PMnew · submitted 2011-02-17 · 🧮 math.AG

Fano manifolds of Calabi-Yau type

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keywords calabi-yaumanifoldsclasscompactcomplexconstructdimensiondimensional
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We introduce and we study a class of odd dimensional compact complex manifolds whose Hodge structure in middle dimension looks like that of a Calabi-Yau threefold. We construct several series of interesting examples from rational homogeneous spaces with special properties.

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