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The toric variety of a fan is given by taking the affine toric varieties of its cones and gluing them together by identifying Uσ with an open subvariety of Uτ whenever σ is a face of τ. Conversely, every fan of strongly convex rational cones has an associated toric variety.

The toric variety of a fan is given by taking the affine toric varieties of its cones and gluing them together by identifying Uσ with an open subvariety of Uτ whenever σ is a face of τ. Conversely, every fan of strongly convex rational cones has an associated toric variety.

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