Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers

DOI10.1007/BF01222768zbMath0416.12010MaRDI QIDQ5895342

Henning Stichtenoth

Publication date: 1980

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

zbMATH Keywords

divisor class groupHasse-Witt invariantfield of algebraic functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (15)

The strong Lefschetz principle in algebraic geometry ⋮ On the poles of regular differentials of singular curves ⋮ On the structure of the divisor class group of a class of curves over finite fields ⋮ A family of hyperelliptic function fields with Hasse-Witt-invariant zero ⋮ On a problem of Kodama concerning the Hasse-Witt matrix and the distribution of residues ⋮ The Hasse-Witt invariant in some towers of function fields over finite fields ⋮ Asymptotically good towers of function fields with small \(p\)-rank ⋮ An improvement to the Hasse-Weil bound and applications to character sums, cryptography and coding ⋮ A family of maximal hyperelliptic curves ⋮ Some remarks on the p-rank of an algebraic curve ⋮ On class numbers of hyperelliptic function fields with Hasse-Witt invariant zero ⋮ Divisorklassen der Ordnung \(\ell\) bei Kongruenzfunktionenkörpern ⋮ Hasse-Witt-invariants and dihedral extensions ⋮ A note on some Picard curves over finite fields ⋮ Class groups and L-series of function fields

Cites Work

• Unnamed Item
• On the structure of the class group of a function field
• The asymptotic behavior of the class group of a function field over a finite field
• The Hasse-Witt matrix of an algebraic curve

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