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.
Betti numbers of the geometric spaces associated to nonrational simple convex polytopes / F. Battaglia. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 139:(2011), pp. 2309-2315. [10.1090/S0002-9939-2010-10709-8]
Betti numbers of the geometric spaces associated to nonrational simple convex polytopes
BATTAGLIA, FIAMMETTA
2011
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.
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