9 citations · 25 across the 18 of their papers we have counts for
8 papers · 1 filter
Regularity in polar spaces of infinite rank
Antonio Pasini
In this paper we propose a definition of regularity suited for polar spaces of infinite rank and we investigate to which extent properties of regular polar spaces of finite rank ca…
Embeddings and hyperplanes of the Lie incidence geometry $A_{n,\{1,n\}}(\mathbb{F})
Antonio Pasini
In this paper we consider a family of projective embeddings of the geometry of point-hyperplanes flags of the projective geometry . The natural em…
Geometric hyperplanes of the Lie geometry
Antonio Pasini
In this paper we investigate hyperplanes of the point-line geometry of point-hyerplane flags of the projective geometry $\mathrm{PG}(n,\mathbb{…
Computations regarding certain graphs associated to finite polar spaces
Antonio Pasini
We consider various regular graphs defined on the set of elements of given rank of a finite polar space. It is likely that no two such graphs, of the same kind but defined for diff…
On the generation of some Lie-type geometries
Ilaria Cardinali, Luca Giuzzi, Antonio Pasini
Let be a building of Coxeter type or defined over a given division ring (a field when ). For a non-connected set of nodes of the…
Sets of generators and chains of subspaces
Antonio Pasini
The rank of a point-line geometry G is usually defined as the generating rank of G, namely the minimal cardinality of a generating set. However, when the subspace lattice of G sati…