Fano manifolds of Calabi-Yau type

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.

References in corpus (3)

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

Cited by in corpus (7)

• Global Torelli Theorem for Projective Manifolds of Calabi-Yau Type
• Derived categories of flips and cubic hypersurfaces
• Motives and the Pfaffian-Grassmannian equivalence
• On the Chow groups of Plücker hypersurfaces in Grassmannians
• Hodge numbers and Hodge structures for Calabi-Yau categories of dimension three
• Gradings of Lie algebras, magical spin geometries and matrix factorizations
• On the PSL(2,19)-invariant cubic sevenfold