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

Battaglia, Fiammetta

doi:10.1090/S0002-9939-2010-10709-8

Betti numbers of the geometric spaces associated to nonrational simple convex polytopes
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Proc. Amer. Math. Soc. 139 (2011), 2309-2315 Request permission

Abstract:

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.

References

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