Intersection Homology of Toric Varieties and a Conjecture of Kalai

Details Intersection Homology of Toric Varieties and a Conjecture of Kalai Intersection Homology of Toric Varieties and a Conjecture of Kalai

1997-04-13

arxiv.org/abs/alg-geom/9704014v1

Mathematics

Algebraic Geometry

16 pages, 1 figure AMSLaTeX

Scientific paper

We prove that the intersection homology Poincare' polynomial P(X) of an
affine toric variety X is bounded below by the product P(Y)P(X/Y), where Y is
the closure of any orbit in X and X/Y is a slice transverse to the orbit. This
proves a combinatorial conjecture of Kalai for rational polytopes.

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