7 papers
New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256
Jack Gilchrist, Stefano Lia, Arani Paul +1
In this paper we completely classify semifields of order containing a nucleus of order . We introduce new invariants for semifields, and apply new computational t…
On the existence of a morphism between certain Artin-Schreier curves
Beatriz Barbero Lucas, Stefano Lia, Gary McGuire
It is well known that, given two curves and , defined over $\F_p$, if divides then there exists a nonconstant morphism $\m…
Short rank-metric codes and scattered subspaces
Stefano Lia, Giovanni Longobardi, Giuseppe Marino +1
By exploiting the connection between scattered -subspaces of and minimal non degenerate -dimensional rank metric codes of $\mathbb{F}_{q^m}^{n…
On the geometry of the Hermitian Veronese curve and its quasi-Hermitian surfaces
Michel Lavrauw, Stefano Lia, Francesco Pavese
The complete classification of the orbits on subspaces under the action of the projective stabiliser of (classical) algebraic varieties is a challenging task, and few classificatio…
A generalization of Bring's curve in any characteristic
Gábor Korchmáros, Stefano Lia, Marco Timpanella
Let be a prime, and an integer. A natural generalization of Bring's curve valid over any field of zero characteristic or positive characteristic ,…
Curves with more than one inner Galois point
Gábor Korchmáros, Stefano Lia, Marco Timpanella
Let be an irreducible plane curve of where is an algebraically closed field of characteristic . A point $Q\in \mathcal…
An -maximal Wiman's sextic and its automorphisms
Massimo Giulietti, Motoko Kawakita, Stefano Lia +1
In 1895 Wiman introduced a Riemann surface of genus over the complex field defined by the homogeneous equation $\mathcal{W}:X^6+Y^6+Z^6+(X^2+Y^2+Z^2)…