AbstractRecall that the flag complex of a geometry is the complex whose points are objects and simplices are flags of this geometry. A geometry is Cohen–Macaulay if the reduced homology of its flag complex vanishes in all dimensions except for the top one, and all residues also have this property. It is proved in the article that the locally polar spaces of order two are Cohen–Macaulay. Results of this kind have applications to studying cohomology of groups acting on geometries
In a recent paper, E. Steingrímsson associated to each simple graph G a simplicial complex ∆G denote...
To the integral symplectic group Sp(2g, Z) we associate two posets of which we prove that they have ...
AbstractIn this paper we prove that the only locally finite, thick flag-transitive Cn.L geometries w...
AbstractRecall that the flag complex of a geometry is the complex whose points are objects and simpl...
Given a hypersurface in the complex projective space, we prove that the degree of its toric polar ma...
We settle the simple connectivity of the geometry opposite a chamber in a polar space of rank 3 by c...
We present characterizations of geometries associated with buildings of type Cn,n−2, Dn,n−2 (n≥4), E...
We describe polar homology groups for complex manifolds. The polar k-chains are subvarieties of comp...
AbstractWe prove an analogue of the de Rham theorem for polar homology; that the polar homology HPq(...
We settle the simple connectivity of the geometry opposite a chamber in a polar space of rank 3 by c...
AbstractIn this paper we prove that the only locally finite, thick flag-transitive Cn.L geometries w...
We investigate the geometric and topological restrictions imposed by a polar foliation of codimensio...
In a recent paper, E. Steingrmsson associated to each simple graph G a simplicial complex G, referre...
AbstractIt is demonstrated that the dual polar space of typeSp(2n,2) can be generated as a geometry ...
AbstractWe prove an analogue of the de Rham theorem for polar homology; that the polar homology HPq(...
In a recent paper, E. Steingrímsson associated to each simple graph G a simplicial complex ∆G denote...
To the integral symplectic group Sp(2g, Z) we associate two posets of which we prove that they have ...
AbstractIn this paper we prove that the only locally finite, thick flag-transitive Cn.L geometries w...
AbstractRecall that the flag complex of a geometry is the complex whose points are objects and simpl...
Given a hypersurface in the complex projective space, we prove that the degree of its toric polar ma...
We settle the simple connectivity of the geometry opposite a chamber in a polar space of rank 3 by c...
We present characterizations of geometries associated with buildings of type Cn,n−2, Dn,n−2 (n≥4), E...
We describe polar homology groups for complex manifolds. The polar k-chains are subvarieties of comp...
AbstractWe prove an analogue of the de Rham theorem for polar homology; that the polar homology HPq(...
We settle the simple connectivity of the geometry opposite a chamber in a polar space of rank 3 by c...
AbstractIn this paper we prove that the only locally finite, thick flag-transitive Cn.L geometries w...
We investigate the geometric and topological restrictions imposed by a polar foliation of codimensio...
In a recent paper, E. Steingrmsson associated to each simple graph G a simplicial complex G, referre...
AbstractIt is demonstrated that the dual polar space of typeSp(2n,2) can be generated as a geometry ...
AbstractWe prove an analogue of the de Rham theorem for polar homology; that the polar homology HPq(...
In a recent paper, E. Steingrímsson associated to each simple graph G a simplicial complex ∆G denote...
To the integral symplectic group Sp(2g, Z) we associate two posets of which we prove that they have ...
AbstractIn this paper we prove that the only locally finite, thick flag-transitive Cn.L geometries w...
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