Hodge Spaces of Real Toric Varieties
نویسنده
چکیده
We define the Z2 Hodge spaces Hpq(Σ) of a fan Σ. If Σ is the normal fan of a reflexive polytope ∆ then we use polyhedral duality to compute the Z2 Hodge Spaces of Σ. In particular, if the cones of dimension at most e in the face fan Σ of ∆ are smooth then we compute Hpq(Σ) for p < e− 1. If Σ is a smooth fan then we completely determine the spaces Hpq(Σ) and we show XΣ is maximal, meaning that the sum of the Z2 Betti numbers of XΣ(R) is equal to the sum of the Z2 Betti numbers of XΣ(C).
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تاریخ انتشار 2008