Fano manifolds of Calabi-Yau Hodge type

Atanas Iliev (1) , Laurent Manivel (2)

1 Department of Mathematics
2 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: projective duality; homogeneous space; Fano variety; Calabi-Yau manifold

Domaines: Géométrie algébrique [math.AG]

Atanas Iliev, Laurent Manivel. Fano manifolds of Calabi-Yau Hodge type. Journal of Pure and Applied Algebra, 2015, 219 (6), pp.2225-2244. ⟨hal-00566547⟩