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math.CO2012
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…
math.CO2012
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…
math.CO2012
The known maximal partial ovoids of size of Q(4,q)
Kris Coolsaet, Jan De Beule, Alessandro Siciliano
We present a description of maximal partial ovoids of size of the parabolic quadric $\q(4,q)$ as sharply transitive subsets of $\SL(2,q)$ and show their connection with spr…