Resumen de Hodge spaces of real toric varieties

Valerie Hower

• We define the ℤ_2 Hodge spacesH_pq (Σ) of a rational fan Σ. If Σ is the normal fan of a reflexive polytope Δ then we use polyhedral duality to compute the Σ_2 Hodge Spaces of Σ. In particular, if the cones of dimension at most e in the face fan Σ^* of Δ are smooth then we computeH_pq (Σ) forp