1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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…
Combinatorial duality and intersection product
Karl-Heinz Fieseler
In two articles by Barthel, Brasselet, Fieseler and Kaup, and, Bressler and Lunts, a combinatorial theory of intersection cohomology and perverse sheaves has been developed on fans…
Towards a combinatorial Intersection Cohomology for Fans
Karl-Heinz Fieseler
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,…
Combinatorial Intersection Cohomology for Fans
Gottfried Barthel, Jean-Paul Brasselet, Karl-Heinz Fieseler +1
We continue the approach toward a purely combinatorial "virtual" intersection cohomology for possibly non-rational fans, based on our investigation of equivariant intersection coho…
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…