Algebraic curves with many automorphisms
From MaRDI portal
Publication:2419264
DOI10.1016/j.aim.2019.04.003zbMath1419.14040arXiv1702.08812OpenAlexW2963551030MaRDI QIDQ2419264
Massimo Giulietti, Gábor Korchmáros
Publication date: 29 May 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.08812
Related Items
On algebraic curves with many automorphisms in characteristic \(p\) ⋮ Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers ⋮ An elementary abelian \(p\)-cover of the Hermitian curve with many automorphisms ⋮ Algebraic curves with automorphism groups of large prime order ⋮ Large automorphism groups of ordinary curves of even genus in odd characteristic ⋮ An \(\mathbb{F}_{p^2 } \)-maximal Wiman sextic and its automorphisms ⋮ On subfields of the second generalization of the GK maximal function field ⋮ New examples of maximal curves with low genus ⋮ Bound on the order of the decomposition groups of an algebraic curve in positive characteristic ⋮ 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 group structures of automorphism groups of elliptic curves over finite fields and their applications to optimal locally repairable codes ⋮ Automorphism group, Galois points and lines of the generalized Artin-Schreier-Mumford curve
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
- Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\)
- A theorem on group spaces
- A new family of maximal curves over a finite field
- On the minimal degrees of projective representations of the finite Chevalley groups
- \(p\)-torsion in the class group of curves with too many automorphisms
- Abhyankar's conjecture on Galois groups over curves
- Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. I: Eine Abschätzung der Ordnung der Automorphismengruppe
- Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. II: Ein spezieller Typ von Funktionenkörpern
- Large 2-groups of automorphisms of algebraic curves over a field of characteristic 2
- A characterization of the Artin-Mumford curve
- Solvability of groups of odd order
- Automorphisms of Harbater-Katz-Gabber curves
- The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
- Abschätzung der Automorphismenzahl von Funktionenkörpern bei Primzahlcharakteristik
- On finite groups with semi-dihedral Sylow 2-subgroups
- On unitary collineation groups
- Quotient curves of the GK curve
- A survey of Galois theory of curves in characteristic p
- Algebraic curves with a large non-tame automorphism group fixing no point
- The geometry of the Artin-Schreier-Mumford curves over an algebraically closed field
- Coverings of Algebraic Curves
- ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
- Automorphism groups of algebraic curves with p -rank zero
- The Finite Simple Groups
- p-Ranks and Automorphism Groups of Algebraic Curves
- Schur Multipliers of Finite Simple Groups of Lie Type
- Some T.I. Subgroups of Solvable Groups
- Finite groups whose 2-subgroups are generated by at most 4 elements
- Funktionenkörper mit großer Automorphismengruppe.
- The Mathieu Group M 11 and the Modular Curve X (11)
- Abhyankar’s conjectures in Galois theory: Current status and future directions
- Nonsolvable finite groups all of whose local subgroups are solvable
- On finite groups whose 2-Sylow subgroups have cyclic subgroups of index 2
- Endliche Gruppen I
- Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
- Discontinuous groups in positive characteristic and automorphisms of Mumford curves
