The rational homology of toric varieties is not a combinatorial invariant
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- by Mark McConnell PDF
- Proc. Amer. Math. Soc. 105 (1989), 986-991 Request permission
Abstract:
We prove that the rational homology Betti numbers of a toric variety with singularities are not necessarily determined by the combinatorial type of the fan which defines it; that is, the homology is not determined by the partially ordered set formed by the cones in the fan. We apply this result to the study of convex polytopes, giving examples of two combinatorially equivalent polytopes for which the associated toric varieties have different Betti numbers.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 986-991
- MSC: Primary 14L32; Secondary 14F45, 14J40, 52A25, 52A37
- DOI: https://doi.org/10.1090/S0002-9939-1989-0954374-9
- MathSciNet review: 954374