28 citations · 86 across the 40 of their papers we have counts for
7 papers · 1 filter
The Geometry of the Artin-Schreier-Mumford Curves over an Algebraically Closed Field
Gábor Korchmáros, Maria Montanucci
For a power of a prime , the Artin-Schreier-Mumford curve of genus is the nonsingular model of the irreducible plane curve with affine equ…
Generalized Artin-Mumford curves over finite fields
Maria Montanucci, Giovanni Zini
Let be the finite field of order with prime and , and let be a subfield of . From any two -linearize…
Ordinary algebraic curves with many automorphisms in positive characteristic
Gábor Korchmáros, Maria Montanucci
Let be an ordinary (projective, geometrically irreducible, nonsingular) algebraic curve of genus defined over an algebraically closed…
Multi-Point AG Codes on the GK Maximal Curves
Daniele Bartoli, Maria Montanucci, Giovanni Zini
In this paper we investigate multi-point Algebraic-Geometric codes associated to the GK maximal curve, starting from a divisor which is invariant under a large automorphism group o…
On some Galois covers of the Suzuki and Ree curves
Massimo Giulietti, Maria Montanucci, Luciane Quoos +1
We determine the full automorphism group of two recently constructed families and of maximal curves over finite fields. These curves…
Some Ree and Suzuki curves are not Galois covered by the Hermitian curve
Maria Montanucci, Giovanni Zini
The Deligne-Lusztig curves associated to the algebraic groups of type , , and are classical examples of maximal curves over finite fields. The Hermitian curve…
The -numbers of Fermat and Hurwitz curves
Maria Montanucci, Pietro Speziali
For an algebraic curve defined over an algebraically closed field of characteristic , the -number is the dimension of the space of exact hol…