On the classification problem for the genera of quotients of the Hermitian curve
From MaRDI portal
Publication:5238138
DOI10.1080/00927872.2019.1601733zbMath1471.11199arXiv1805.09118OpenAlexW2963309898MaRDI QIDQ5238138
Maria Montanucci, Giovanni Zini, Francesca Dalla Volta
Publication date: 28 October 2019
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.09118
Related Items (5)
On subfields of the second generalization of the GK maximal function field ⋮ Quotients of the Hermitian curve from subgroups of \(\text{PGU}(3,q)\) without fixed points or triangles ⋮ The complete list of genera of quotients of the \(\mathbb{F}_{q^2}\)-maximal Hermitian curve for \(q \equiv 1 \pmod 4\) ⋮ The curve \(y^n=x^\ell(x^m+1)\) over finite fields. II ⋮ Classification of all Galois subcovers of the Skabelund maximal curves
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximal curves from subcovers of the GK-curve
- On maximal curves that are not quotients of the Hermitian curve
- On the genera of subfields of the Hermitian function field
- Supersingular quotients of Fermat curves
- Further examples of maximal curves which cannot be covered by the Hermitian curve
- A new family of maximal curves over a finite field
- Representations of reductive groups over finite fields
- On curves covered by the Hermitian curve.
- On the difference between permutation polynomials
- On the spectrum for the genera of maximal curves over small fields
- On maximal curves which are not Galois subcovers of the Hermitian curve
- Quotients of the Hermitian curve from subgroups of \(\text{PGU}(3,q)\) without fixed points or triangles
- Towards a characterization of subfields of the Deligne-Lusztig function fields
- Some Ree and Suzuki curves are not Galois covered by the Hermitian curve
- A maximal curve which is not a Galois subcover of the Hermitian curve
- Endomorphisms of Abelian varieties over finite fields
- On unitary collineation groups
- Quotient curves of the GK curve
- Number of rational places of subfields of the function field of the Deligne–Lusztig curve of Ree type
- Algebraic Function Fields and Codes
- A generalization of the Giulietti–Korchmáros maximal curve
- Curves of large genus covered by the hermitian curve
- A new family of maximal curves
- On the spectrum of genera of quotients of the Hermitian curve
- Subfields of the function field of the Deligne–Lusztig curve of Ree type
- On the genus spectrum of maximal curves over finite fields
- ON SUBFIELDS OF GK AND GENERALIZED GK FUNCTION FIELDS
- Endliche Gruppen I
This page was built for publication: On the classification problem for the genera of quotients of the Hermitian curve
