3 papers
math.AG2006
Hodge-Riemann Relations for Polytopes: A Geometric Approach
G. Barthel, J. -P-Brasselet, K. -H. Fieseler +1
The paper presents a proof of the Hodge Riemann relations for the combinatorial intersection cohomology of a polytope, as fist given by K.Karu, in terms of geometric operations on…
math.AG2003
Combinatorial Duality and Intersection Product: A Direct Approach
Gottfried Barthel, Jean-Paul Brasselet, Karl-Heinz Fieseler +1
The proof of the combinatorial Hard Lefschetz Theorem for the ``virtual'' intersection cohomology of a not necessarily rational polytopal fan that has been presented by K. Karu com…
math.AG1999
Equivariant Intersection Cohomology of Toric Varieties
Gottfried Barthel, Jean-Paul Brasselet, Karl-Heinz Fieseler +1
We investigate the equivariant intersection cohomology of a toric variety. Considering the defining fan of the variety as a finite topological space with the subfans being the open…