G. Zini

activity

20152026

most citedAlgebraic Geometric codes from Kummer Extensions

3 citations · 18 across the 26 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

math.CO2018

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 $H (P)$ for any point $P$ of the Suzuki curve $S_{q}$ . As the point $P$ varies, exactly t…

math.CO2018

The Möbius function of $PSU (3, 2^{2^{n}})$

Giovanni Zini

Let $G$ be the simple group $PSU (2, 2^{2^{n}})$ , $n > 0$ . For any subgroup $H$ of $G$ , we compute the Möbius function $μ_{L} (H, G)$ of $H$ in the subgroup lattice $L$ of $G$ , and the…

math.AG2018★ 2 cited

The complete list of genera of quotients of the $F_{q^{2}}$ -maximal Hermitian curve for $q \equiv 1 (mod 4)$

Maria Montanucci, Giovanni Zini

Let $F_{q^{2}}$ be the finite field with $q^{2}$ elements. Most of the known $F_{q^{2}}$ -maximal curves arise as quotient curves of the $F_{q^{2}}$ -maximal Hermi…

math.AG2018

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 $H_{q} / G$ of the $F_{q^{2}}$ -maximal Hermitian curve $H_{q}$ for which $G$ is contained in…

math.AG2018★ 1 cited

Quotients of the Hermitian curve from subgroups of $PGU (3, q)$ without fixed points or triangles

Maria Montanucci, Giovanni Zini

In this paper we deal with the problem of classifying the genera of quotient curves $H_{q} / G$ , where $H_{q}$ is the $F_{q^{2}}$ -maximal Hermitian curve and $…

Weierstrass semigroups at every point of the Suzuki curve

The Möbius function of PSU(3,22n)

The complete list of genera of quotients of the Fq2​-maximal Hermitian curve for q≡1(mod4)

On the classification problem for the genera of quotients of the Hermitian curve

Quotients of the Hermitian curve from subgroups of PGU(3,q) without fixed points or triangles

The Möbius function of $PSU (3, 2^{2^{n}})$

The complete list of genera of quotients of the $F_{q^{2}}$ -maximal Hermitian curve for $q \equiv 1 (mod 4)$

Quotients of the Hermitian curve from subgroups of $PGU (3, q)$ without fixed points or triangles