9 citations · 25 across the 18 of their papers we have counts for
22 papers
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{…
Characterizations of symplectic polar spaces
Ilaria Cardinali, Hans Cuypers, Luca Giuzzi +1
A polar space S is said to be symplectic if it admits an embedding e in a projective geometry PG(V) such that the e-image e(S) of S is defined by an alternating form of V. In this…
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…
Nearly all subspaces of a classical polar space arise from its universal embedding
Ilaria Cardinali, Luca Giuzzi, Antonio Pasini
Let be an embeddable non-degenerate polar space of finite rank . Assuming that admits the universal embedding (which is true for all embeddable polar spaces excep…