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math.AG2007★ 2 cited
Hodge Spaces for Real Toric Varieties
Valerie Hower
We define the Z/2Z Hodge spaces H_{pq}(Σ) of a fan Σ. If Σis the normal fan of a reflexive polytope Δthen we use polyhedral duality to compute the Z/2Z Hodge Spaces of Σ. In partic…
math.AG2006★ 2 cited
A counterexample to the maximality of toric varieties
Valerie Hower
We present a counterexample to the conjecture of Bihan, Franz, McCrory, and van Hamel concerning the maximality of toric varieties. There exists a six dimensional projective toric…