Some remarks on the p-rank of an algebraic curve

DOI10.1007/BF01196870zbMath0524.14025OpenAlexW2073716458MaRDI QIDQ585307

Michael I. Rosen

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01196870

zbMATH Keywords

Jacobianzeta functioncyclic coverfinite field of definitionp-rank of algebraic curve

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Coverings of curves, fundamental group (14H30)

Related Items (8)

The strong Lefschetz principle in algebraic geometry ⋮ On geometric \({\mathbb{Z}}_ p\)-extensions of function fields ⋮ On the 𝑝^{𝑒}-torsion of elliptic curves and elliptic surfaces in characteristic 𝑝 ⋮ The Hasse-Witt invariant in some towers of function fields over finite fields ⋮ Asymptotically good towers of function fields with small \(p\)-rank ⋮ Hasse-Witt-invariants and dihedral extensions ⋮ An application of a theorem of Deuring and Šafarevič ⋮ Class groups and L-series of function fields

Cites Work

• Unnamed Item
• The p-rank of Artin-Schreier curves
• \(p\)-torsion in the class group of curves with too many automorphisms
• Ambiguous divisor classes in function fields
• On a theorem of M. Deuring and I. R. Šafarevič
• The asymptotic behavior of the class group of a function field over a finite field
• Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers

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