Betti numbers of the geometric spaces associated to nonrational simple convex polytopes

Details Betti numbers of the geometric spaces associated to nonrational simple convex polytopes Betti numbers of the geometric spaces associated to nonrational simple convex polytopes

2010-04-27

arxiv.org/abs/1004.4763v1

Proc. Amer. Math. Soc. 139 (2011), 2309-2315

Mathematics

Algebraic Geometry

8 pages

Scientific paper

10.1090/S0002-9939-2010-10709-8

We compute the Betti numbers of the geometric spaces associated to
nonrational simple convex polytopes and find that they depend on the
combinatorial type of the polytope exactly as in the rational case. This shows
that the combinatorial features of the starting polytope are encoded in these
generalized toric spaces as they are in their rational counterparts.

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