\(p\)-torsion in the class group of curves with too many automorphisms

DOI10.1007/BF01229737zbMath0331.14016MaRDI QIDQ1227782

Francis J. Sullivan

Publication date: 1975

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Special polynomials in general fields (12E10) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (16)

On algebraic curves with many automorphisms in characteristic \(p\) ⋮ Algebraic curves with many automorphisms ⋮ Transcendence degree one function fields over a finite field with many automorphisms ⋮ Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank ⋮ Curves with more than one inner Galois point ⋮ Ramified extensions of degree p and their Hopf–Galois module structure ⋮ Ordinary algebraic curves with many automorphisms in positive characteristic ⋮ On additive polynomials and certain maximal curves ⋮ Irreducible canonical representations in positive characteristic ⋮ Large 2-groups of automorphisms of algebraic curves over a field of characteristic 2 ⋮ Some remarks on the p-rank of an algebraic curve ⋮ On a theorem of M. Deuring and I. R. Šafarevič ⋮ Arithmetic in generalized Artin-Schreier extensions of k(x) ⋮ On the de-Rham cohomology of hyperelliptic curves ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request ⋮ Die stabile Reduktion der Fermatkurve über einem Zahlkörper. (The stable reduction of the Fermat curve over a number field)

Cites Work

• 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
• The Hasse-Witt matrix of an algebraic curve
• Zyklische unverzweigte Erweiterungskörper vom Primzahlgradep über einem algebraischen Funktionenkörper der Charakteristikp
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