On polytopes simple in edges

Details On polytopes simple in edges On polytopes simple in edges

2000-10-23

arxiv.org/abs/math/0010213v3

Funct. Anal. Appl. 35(2001) no. 3, pp. 189-198

Mathematics

Algebraic Geometry

Rewritten. The first version contained fatal errors. 16 pages, to be published in Func. Anal. and Appl

Scientific paper

We investigate some combinatorial properties of convex polytopes simple in
edges. For polytopes whose nonsimple vertices are located sufficiently far one
from another, we prove an analog of the Hard Lefschetz theorem. It implies
Stanley's conjecture for such polytopes.

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