Hodge Spaces for Real Toric Varieties

Details Hodge Spaces for Real Toric Varieties Hodge Spaces for Real Toric Varieties

2007-05-03

arxiv.org/abs/0705.0516v1

Mathematics

Algebraic Geometry

22 pages, 2 figures

Scientific paper

We define the Z/2Z Hodge spaces H_{pq}(\Sigma) of a fan \Sigma. If \Sigma is the normal fan of a reflexive polytope \Delta then we use polyhedral duality to compute the Z/2Z Hodge Spaces of \Sigma. In particular, if the cones of dimension at most e in the face fan \Sigma^* of \Delta are smooth then we compute H_{pq}(\Sigma) for p

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