A study of Hasse-Witt matrices by local methods

DOI10.1007/BF01215655zbMath0637.14017OpenAlexW2084913135MaRDI QIDQ1098904

Paulo Henrique Viana, Karl-Otto Stöhr

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174017

zbMATH Keywords

Cartier operatorWeierstrass gap sequencesalgebraic function fieldHasse-Witt matrix

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Divisors, linear systems, invertible sheaves (14C20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (6)

On the poles of regular differentials of singular curves ⋮ Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers ⋮ A variant of Petri's analysis of the canonical ideal of an algebraic curve ⋮ Algebraic curves with automorphism groups of large prime order ⋮ The rank of the Cartier operator and linear systems on curves ⋮ Elementary abelian \(p\)-extensions of algebraic function fields

Cites Work

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• Weierstrass points on certain non-classical curves
• Algebraic curves with non-classical types of gap sequences for genus three and four
• Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. II: Ein spezieller Typ von Funktionenkörpern
• Zur arithmetischen Theorie der algebraischen Funktionen. II: Allgemeine Theorie der Weierstraßpunkte
• Weierstrass Points and Curves Over Finite Fields
• A formula for the Cartier operator on plane algebraic curves.
• Zyklische unverzweigte Erweiterungskörper vom Primzahlgradep über einem algebraischen Funktionenkörper der Charakteristikp
• Genus Change in Inseparable Extensions of Function Fields

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