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Towards a combinatorial Intersection Cohomology for Fans
The real intersection cohomology of a toric variety is described in a purely
combinatorial way using methods of elementary commutative algebra only. We
define, for arbitrary fans, the notion of a ``minimal extension sheaf'' on the
fan as an axiomatic characterization of the equivariant intersection cohomology
sheaf. This provides a purely algebraic interpretation of Stanley's generalized
f- and g-vector of an arbitrary polytope or complete fan under a natural
vanishing condition. -- The results presented in this note originate from joint
work with G.Barthel, J.-P.Brasselet and L.Kaup, continuing earlier research
(see math.AG/9904159). A detailed exposition will appear elsewhere (see
math.AG/0002181).Comment: 8 pages, TeX, special macros are included, To appear in CRAS, Acad.
Sci. Pari
Natural gas pipeline to Siberia. Speech by Dr. Karl-Heinz Narjes [Commissioner] to the Council on Foreign Relations of Washington. Washington DC, 29 September 1982
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