An \(\mathbb{F}_{p^2 } \)-maximal Wiman sextic and its automorphisms

DOI10.1515/advgeom-2020-0012zbMath1473.14055arXiv1805.06317OpenAlexW3206982647MaRDI QIDQ2238252

Stefano Lia, Maria Montanucci, Massimo Giulietti, Motoko Qiu Kawakita

Publication date: 1 November 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06317

zbMATH Keywords

unitary groupHermitian curvemaximal curveWiman's sexticquotient curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Automorphisms of curves (14H37)

Cites Work

• Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\)
• On maximal curves that are not quotients of the Hermitian curve
• A new family of maximal curves over a finite field
• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• Idempotent relations and factors of Jacobians
• Representations of reductive groups over finite fields
• On curves covered by the Hermitian curve.
• Wiman's and Edge's sextics attaining Serre's bound
• On maximal curves which are not Galois subcovers of the Hermitian curve
• Some Ree and Suzuki curves are not Galois covered by the Hermitian curve
• Algebraic curves with many automorphisms
• A maximal curve which is not a Galois subcover of the Hermitian curve
• On unitary collineation groups
• Algebraic Function Fields and Codes
• A generalization of the Giulietti–Korchmáros maximal curve
• p-Ranks and Automorphism Groups of Algebraic Curves
• On Weierstrass points and optimal curves
• 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
• Algebraic function fields over finite fields with many rational places
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