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Geometric spaces from arbitrary convex polytopes

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Type
Preprint
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Submission Date
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arXiv ID: 0804.0626
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arXiv
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Abstract

We associate a geometric space to an arbitrary convex polytope. Our construction parallels the construction by D. Cox of a toric variety as a GIT quotient. The spaces that we obtain are endowed with a natural stratification and perfectly mimic the features of toric varieties associated to rational convex polytopes.

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