The asymptotic behavior of the class group of a function field over a finite field

DOI10.1007/BF01228212zbMath0264.12003MaRDI QIDQ2561624

Michael I. Rosen

Publication date: 1973

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

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite ground fields in algebraic geometry (14G15) Iwasawa theory (11R23)

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A family of hyperelliptic function fields with Hasse-Witt-invariant zero, On the structure of the class group of a function field, Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers, Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers, Some remarks on the p-rank of an algebraic curve, On the \(\mu\)-invariants of abelian varieties over function fields of positive characteristic, Weight of duals of BCH codes and exponential sums

Cites Work

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• Unverzweigte galoissche \(p\)-Erweiterungen algebraischer Funktionenkörper mit endlichem Konstantenkörper
• The Multiplicative Group of Absolutely Algebraic Fields in Characteristic p
• Class Number in Constant Extensions of Elliptic Function Fields