Equivariant form of the Deuring-Šafarevič formula for Hasse-Witt invariants

DOI10.1007/BF01214754zbMath0559.14022OpenAlexW1592008387MaRDI QIDQ802621

Shoichi Nakajima

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173649

zbMATH Keywords

Deuring- Shafarevich formuladifferentials with polesGalois covering of complete non-singular curvesHasse-Witt invariantsinvariant effective divisors

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Coverings of curves, fundamental group (14H30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (12)

Sur la formule de Deuring-Šafarevič et un résultat de Nakajima. (On the Deuring-Shafarevich formula and a result by Nakajima) ⋮ Structure of semisimple differentials and p-class groups in \({\mathbb{Z}}_ p\)-extensions ⋮ Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers ⋮ An Equivariant Main Conjecture in Iwasawa theory and applications ⋮ Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮ On the Galois module structure of semisimple holomorphic differentials ⋮ Hyperelliptic curves over 𝔽₂ of every 2-rank without extra automorphisms ⋮ Irreducible canonical representations in positive characteristic ⋮ On \(p\)-rank representations ⋮ Quadratic differentials and equivariant deformation theory of curves ⋮ Integral representations of p-class groups in \({\mathbb{Z}}_ p\)-extensions, semisimple differentials and Jacobians ⋮ The geometry of Hida families I: \(\Lambda\)-adic de Rham cohomology

Cites Work

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• The p-rank of Artin-Schreier curves
• On a theorem of M. Deuring and I. R. Šafarevič
• Generalized Hasse-Witt invariants and unramified Galois extensions of an algebraic function field
• Zyklische unverzweigte Erweiterungskörper vom Primzahlgradep über einem algebraischen Funktionenkörper der Charakteristikp
• On Galois module structure of the cohomology groups of an algebraic variety

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