Algebraic curves with a large non-tame automorphism group fixing no point

DOI10.1090/S0002-9947-2010-05025-1zbMath1220.14022WikidataQ59249200 ScholiaQ59249200MaRDI QIDQ3056577

Massimo Giulietti, Gábor Korchmáros

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

automorphism groupspositive characteristicalgebraic curves

Mathematics Subject Classification ID

Automorphisms of curves (14H37) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (13)

Generalized Artin-Mumford curves over finite fields ⋮ Quotient curves of the GK curve ⋮ From hyperelliptic to superelliptic curves ⋮ On the size of the automorphism group of a plane algebraic curve ⋮ The automorphism groups of a family of maximal curves ⋮ Algebraic curves with many automorphisms ⋮ Transcendence degree one function fields over a finite field with many automorphisms ⋮ Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮ Large automorphism groups of ordinary curves in characteristic 2 ⋮ Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\) ⋮ Large 2-groups of automorphisms of algebraic curves over a field of characteristic 2 ⋮ Large odd prime power order automorphism groups of algebraic curves in any characteristic ⋮ Weierstrass semigroup and automorphism group of the curves \(\mathcal{X}_{n,r}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite geometries.
• A new family of maximal curves over a finite field
• Smooth curves having a large automorphism \(p\)-group in characteristic \(p>0\)
• Large \(p\)-group actions with a \(p\)-elementary abelian derived group
• 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
• Abschätzung der Automorphismenzahl von Funktionenkörpern bei Primzahlcharakteristik
• On unitary collineation groups
• 2-transitive groups in which the stabilizer of two points is cyclic
• Weierstrass Points and Curves Over Finite Fields
• p-Ranks and Automorphism Groups of Algebraic Curves
• Funktionenkörper mit großer Automorphismengruppe.
• Primary cyclotomic units and a proof of Catalans conjecture
• Subfields of the function field of the Deligne–Lusztig curve of Ree type
• Quotient curves of the Suzuki curve
• Endliche Gruppen I
• Schur multipliers of the known finite simple groups
• automorphism groups for p-cyclic covers of the affine line

This page was built for publication: Algebraic curves with a large non-tame automorphism group fixing no point