2000/10/31 by Vladlen Timorin
Mathematics · #math.AG #math.CO #msc:14M25 #msc:52B05 #msc:14F43
published as Funct. Anal. Appl. 35(2001) no. 3, pp. 189-198 · Rewritten. The first version contained fatal errors. 16 pages, to be published in Func. Anal. and Appl
arxiv created 2001/02/13 · arxiv updated 2009/11/30
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.