Arithmetic in generalized Artin-Schreier extensions of k(x)

DOI10.1016/0022-314X(78)90027-6zbMath0384.12008OpenAlexW2067522363MaRDI QIDQ1248546

Daniel J. Madden

Publication date: 1978

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(78)90027-6

Mathematics Subject Classification ID

Related Items (14)

On holomorphic polydifferentials in positive characteristic ⋮ A Generalization of a Lemma of Sullivan ⋮ IWASAWA THEORY FORp-TORSION CLASS GROUP SCHEMES IN CHARACTERISTICp ⋮ 𝑝-group Galois covers of curves in characteristic 𝑝 ⋮ Automorphisms and holomorphic differentials in characteristic \(p\). ⋮ Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮ Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms ⋮ Representation of cyclic groups in positive characteristic and Weierstrass semigroups ⋮ Explicit Galois representations of automorphisms on holomorphic differentials in characteristic \(p\) ⋮ THE RAMIFICATION GROUPS AND DIFFERENT OF A COMPOSITUM OF ARTIN–SCHREIER EXTENSIONS ⋮ Chebotarev density theorem in short intervals for extensions of 𝔽_{𝕢}(𝕋) ⋮ On the de-Rham cohomology of hyperelliptic curves ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request ⋮ Galois module structure of holomorphic differentials

Cites Work

• \(p\)-torsion in the class group of curves with too many automorphisms
• The exponent of class groups on congruence function fields
• The Hasse-Witt matrix of an algebraic curve
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