Simple convex polytopes and the strong Lefschetz theorem (Q1175533)
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scientific article; zbMATH DE number 11864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple convex polytopes and the strong Lefschetz theorem |
scientific article; zbMATH DE number 11864 |
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Simple convex polytopes and the strong Lefschetz theorem (English)
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25 June 1992
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The h-vector of a convex polytope in \(R^ d\) determines and is determined by the number of faces. The g-conjecture of McMullen characterizes those vectors which are h-vectors of simplicial convex polytopes. The author gives a proof for the necessity of this condition which is simpler than Stanley's earlier proof.
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Dehn-Sommerville equalities
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f-vector
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toric variety
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Chow ring
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h- vector
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g-conjecture
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simplicial convex polytopes
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