The Hasse-Witt invariant in some towers of function fields over finite fields

DOI10.1007/s00574-010-0026-8zbMath1215.14022OpenAlexW2025837463MaRDI QIDQ611930

Alp Bassa, Beelen, Peter

Publication date: 15 December 2010

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-010-0026-8

zbMATH Keywords

\(p\)-ranktowers of function fieldsZink's boundarithmetic theory of algebraic function fieldsHasse-Witt invariant

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (4)

Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of \(\mathbb{F}_2\) and \(\mathbb{F}_3\) ⋮ A new tower with good $p$-rank meeting Zink’s bound ⋮ Asymptotically good towers of function fields with small \(p\)-rank ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request

Cites Work

• Some remarks on the p-rank of an algebraic curve
• Number of points of an algebraic curve
• The p-rank of Artin-Schreier curves
• On the asymptotic behaviour of some towers of function fields over finite fields
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• Algebraic Function Fields and Codes
• The Hasse-Witt matrix of an algebraic curve
• An explicit tower of function fields over cubic finite fields and Zink’s lower bound
• Zyklische unverzweigte Erweiterungskörper vom Primzahlgradep über einem algebraischen Funktionenkörper der Charakteristikp
• Binomial Coefficients Modulo a Prime
• Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Hasse-Witt invariant in some towers of function fields over finite fields