ScalingStacks

Theorem 4.42 . [02QJ]

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Theorem 4.42.

The correspondence (XΣ,DΨ)↦ΔΨ(X_{\Sigma},D_{\Psi})\mapsto\Delta_{\Psi} is a bijection between the set of polarized toric varieties and the set of lattice polytopes of dimension nn of MM. Two ample 𝕋\mathbb{T}-Cartier divisors DΨD_{\Psi} and DΨ′D_{\Psi^{\prime}} on a toric variety XΣX_{\Sigma} are rationally equivalent if and only if ΔΨ′\Delta_{\Psi^{\prime}} is the translated of ΔΨ\Delta_{\Psi} by an element of MM.

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