Geometric spaces from arbitrary convex polytopes

Details Geometric spaces from arbitrary convex polytopes Geometric spaces from arbitrary convex polytopes

2008-04-04

arxiv.org/abs/0804.0626v2

Mathematics

Algebraic Geometry

30 pages, title changed, references updated, some expository changes.

Scientific paper

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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