论文信息 - An Upper Bound Theorem for Rational Polytopes - 字舞流文

An Upper Bound Theorem for Rational Polytopes

The upper bound inequality[formula](0?i?d/2) is proved for the torich-vector of a rational convexd-dimensional polytope withnvertices. This gives nonlinear inequalities on flag vectors of rational polytopes.

Margaret M. Bayer | M. Bayer

[1] Richard P. Stanley,et al. Generalized $H$-Vectors, Intersection Cohomology of Toric Varieties, and Related Results , 1987 .

[2] R. Stanley. The number of faces of a simplicial convex polytope , 1980 .

[3] P. McMullen. The maximum numbers of faces of a convex polytope , 1970 .

[4] Tom C. Braden,et al. Intersection homology of toric varieties and a conjecture of Kalai , 1997 .

[5] M. McConnell,et al. The rational homology of toric varieties is not a combinatorial invariant , 1989 .

[6] Francesco Brenti. Twisted Incidence Algebras and Kazhdan–Lusztig–Stanley Functions , 1999 .

[7] I. G. MacDonald,et al. CONVEX POLYTOPES AND THE UPPER BOUND CONJECTURE , 1973 .

[8] Margaret M. Bayer. Equidecomposable and weakly neighborly polytopes , 1993 .

[9] Richard P. Stanley,et al. Subdivisions and local $h$-vectors , 1992 .

[10] L. Billera,et al. Sufficiency of McMullen's conditions for $f$-vectors of simplicial polytopes , 1980 .