On singular primes in function fields

DOI10.1007/BF01194574zbMath0637.12008OpenAlexW63946208MaRDI QIDQ1098886

Karl-Otto Stöhr

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01194574

zbMATH Keywords

genusextension of field of constantssingular primes in function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (6)

Fibrations by non-smooth projective curves of arithmetic genus two in characteristic two ⋮ Non-conservative plane quartic curves in characteristic five ⋮ Non-conservative function fields of genus \((p+1)/2\) ⋮ Fibrations by nonsmooth genus three curves in characteristic three ⋮ Fibrations by curves with more than one nonsmooth point ⋮ Every finitely generated regular field extension has a stable transcendence base

Cites Work

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• Pseudoexakte Differentiale und Tatesche Spuren
• On the singularity degree of subrings in function fields
• Residuenfreie Differentiale und der Cartier-Operator algebraischer Funktionenkörper. (Residue-free differentials and the Cartier-operator of algebraic function fields)
• Equivalence relations on algebraic curves
• Über \(s\)-Differenten und Differentiale algebraischer Funktionenkörper einer Veränderlichen
• Über den Riemann‐Rochschen Satz in Funktionenkörpern vom Transzendenzgrad 1. Hermann Ludwig Schmid zum Gedächtnis
• Zur Konservativität algebraischer Funktionenkörper.
• On conservativity of algebraic function fields
• Genus Change in Inseparable Extensions of Function Fields

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