Betti numbers of the geometric spaces associated to nonrational simple convex polytopes
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- by Fiammetta Battaglia
- Proc. Amer. Math. Soc. 139 (2011), 2309-2315
- DOI: https://doi.org/10.1090/S0002-9939-2010-10709-8
- Published electronically: November 29, 2010
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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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Bibliographic Information
- Fiammetta Battaglia
- Affiliation: Dipartimento di Matematica Applicata, Università degli Studi di Firenze, Via S. Marta 3, 50139 Firenze, Italy
- Email: fiammetta.battaglia@unifi.it
- Received by editor(s): June 16, 2010
- Published electronically: November 29, 2010
- Additional Notes: This research was partially supported by MIUR (“Geometria Differenziale e Analisi Globale” PRIN 2007)
- Communicated by: Lev Borisov
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2309-2315
- MSC (2010): Primary 14M25; Secondary 52B05, 32S99
- DOI: https://doi.org/10.1090/S0002-9939-2010-10709-8
- MathSciNet review: 2784795