3 papers
math.CO2022
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…
math.CO2020
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…
math.CO2016
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…