Geometric spaces from arbitrary convex polytopes
Algebraic Geometry
2010-04-29 v2
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.
Cite
@article{arxiv.0804.0626,
title = {Geometric spaces from arbitrary convex polytopes},
author = {Fiammetta Battaglia},
journal= {arXiv preprint arXiv:0804.0626},
year = {2010}
}
Comments
30 pages, title changed, references updated, some expository changes.