\(\mathbb{F}_{p^2}\)-maximal curves with many automorphisms are Galois-covered by the Hermitian curve
From MaRDI portal
Publication:2046809
DOI10.1515/advgeom-2021-0013zbMath1472.14032arXiv1708.03933OpenAlexW3177182439MaRDI QIDQ2046809
Daniele Bartoli, Fernando Torres, Maria Montanucci
Publication date: 19 August 2021
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.03933
Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Coverings of curves, fundamental group (14H30) Automorphisms of curves (14H37)
Related Items (1)
Cites Work
- Unnamed Item
- 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 over finite fields of small order
- Irreducible canonical representations in positive characteristic
- On the genus of a maximal curve
- Further examples of maximal curves which cannot be covered by the Hermitian curve
- A new family of maximal curves over a finite field
- Curves covered by the Hermitian curve
- On maximal curves with Frobenius dimension 3
- The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
- The genus of maximal function fields over finite fields
- On maximal curves
- AG codes and AG quantum codes from the GGS curve
- Multi point AG codes on the GK maximal curve
- On subfields of the Hermitian function field involving the involution automorphism
- On the spectrum for the genera of maximal curves over small fields
- The genus of curves over finite fields with many rational points
- Some Ree and Suzuki curves are not Galois covered by the Hermitian curve
- Weierstrass semigroups and codes from a quotient of the Hermitian curve
- Counting curves over finite fields
- Edmonds maps on Fricke-Macbeath curve
- A note on certain maximal curves
- Algebraic Function Fields and Codes
- Certain maximal curves and Cartier operators
- Codes From the Suzuki Function Field
- A generalization of the Giulietti–Korchmáros maximal curve
- Remarks on codes from Hermitian curves (Corresp.)
- Codes on the Klein quartic, ideals, and decoding (Corresp.)
- A note on Hermitian codes over GF(q/sup 2/)
- On Weierstrass points and optimal curves
- A characterization of Hermitian function fields over finite fields.
- A class of linear codes with good parameters from algebraic curves
- Curves of large genus covered by the hermitian curve
- Improvements on parameters of one-point AG codes from Hermitian curves
- Counting points on the Fricke–Macbeath curve over finite fields
- On the spectrum of genera of quotients of the Hermitian curve
- Algebraic function fields over finite fields with many rational places
- Systematic encoding via Grobner bases for a class of algebraic-geometric Goppa codes
- On a Curve of Genus 7
- A Canonical Curve of Genus 7
- GUAVA
This page was built for publication: \(\mathbb{F}_{p^2}\)-maximal curves with many automorphisms are Galois-covered by the Hermitian curve