28 citations · 86 across the 40 of their papers we have counts for
8 papers · 1 filter
Weierstrass semigroups at every point of the Suzuki curve
Daniele Bartoli, Maria Montanucci, Giovanni Zini
In this article we explicitly determine the structure of the Weierstrass semigroups for any point of the Suzuki curve . As the point varies, exactly t…
On subfields of the second generalization of the GK maximal function field
Peter Beelen, Maria Montanucci
The second generalized GK function fields are a recently found family of maximal function fields over the finite field with elements, where is a prime power and…
Large odd prime power order automorphism groups of algebraic curves in any characteristic
Gábor Korchmáros, Maria Montanucci
Let be a (projective, geometrically irreducible, nonsingular) algebraic curve of genus defined over an algebraically closed field of odd charac…
The complete list of genera of quotients of the -maximal Hermitian curve for
Maria Montanucci, Giovanni Zini
Let be the finite field with elements. Most of the known -maximal curves arise as quotient curves of the -maximal Hermi…
On the classification problem for the genera of quotients of the Hermitian curve
Francesca Dalla Volta, Maria Montanucci, Giovanni Zini
In this paper we characterize the genera of those quotient curves of the -maximal Hermitian curve for which is contained in…
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)…
Quotients of the Hermitian curve from subgroups of without fixed points or triangles
Maria Montanucci, Giovanni Zini
In this paper we deal with the problem of classifying the genera of quotient curves , where is the -maximal Hermitian curve and $…
Pure gaps on curves with many rational places
Daniele Bartoli, Ariane M. Masuda, Maria Montanucci +1
We consider the algebraic curve defined by where and is a rational function over . We extend the concept of pure gap to {\bf c}-gap and…