Fano manifolds of Calabi-Yau type

2011/02/17 by Atanas Iliev, Iliev, Atanas, Laurent Manivel +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1102.3623

openalex publication_date 2011/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Cubics, Integrable Systems, and Calabi-Yau Threefolds
• Derived categories of cubic and V14 threefolds
• Determinantal hypersurfaces

Related

• Asymptotically Calabi metrics and weak Fano manifolds
• Examples of Calabi-Yau 3-manifolds with complex multiplication
• Higher dimensional Calabi-Yau manifolds of Kummer type
• Calabi-Yau double coverings of Fano-Enriques threefolds
• Groups Acting Freely on Calabi-Yau Threefolds Embedded in a Product of\n del Pezzo Surfaces