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- W2016451301 abstract "We prove an inequality, conjectured by Kalai, relating the g-polynomials of a poly- tope P ,af ace F, and the quotient polytope P=F, in the case where P is rational. We introduce a new family of polynomials g(P;F), which measures the complexity of the part of P far away from the face F ; Kalai's conjecture follows from the nonnegativity of these polynomials. This nonnegativity comes from showing that the restriction of the intersection cohomology sheaf on a toric variety to the closure of an orbit is a direct sum of intersection homology sheaves. Mathematics Subject Classication (1991). Primary 14F32; Secondary 14M25, 52B05." @default.
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- W2016451301 date "1999-09-01" @default.
- W2016451301 modified "2023-09-27" @default.
- W2016451301 title "Intersection homology of toric varieties and a conjecture of Kalai" @default.
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- W2016451301 doi "https://doi.org/10.1007/s000140050098" @default.
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