8 papers
On the classification of low-degree ovoids of Q(4,q)
Daniele Bartoli, Nicola Durante
Ovoids of the non-degenerate quadric Q(4,q) of PG(4,q) have been studied since the end of the '80s. They are rare objects and, beside the classical example given by an elliptic qua…
-Veronese variety and some applications
Nicola Durante, Giovanni Longobardi, Valentina Pepe
Let be the Galois field of order a prime, be the automorphism group of and $\boldsymbolσ=(…
On absolute points of correlations in PG
Jozefien D'haeseleer, Nicola Durante
Let be a -dimensional vector space over a field . Sesquilinear forms over have been largely studied when they are reflexive and hence give rise to a (pos…
Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries
Nicola Durante, Alessandro Siciliano
In this paper we construct infinite families of non-linear maximum rank distance codes by using the setting of bilinear forms of a finite vector space. We also give a geometric des…
Hyperovals in Knuth's binary semifield planes
Nicola Durante, Rocco Trombetti, Yue Zhou
In each of the three projective planes coordinatised by the Knuth's binary semifield of order and two of its Knuth derivatives, we exhibit a new family of infi…
Unitals of PG(2,q^2) containing conics
N. Durante, A. Siciliano
A unital in PG(2,q^2) is a set U of q^3+1 points such that each line meets U in 1 or q+1 points. The well known example is the classical unital consisting of all absolute points of…
The geometry of elation groups of a finite projective space
N. Durante, A. Siciliano
We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy cla…
Low dimensional models of the finite split Cayley hexagon
John Bamberg, Nicola Durante
We provide a model of the split Cayley hexagon arising from the Hermitian surface , thereby yielding a geometric construction of the Dickson group start…