Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms

DOI10.1090/S0002-9939-2014-12010-7zbMath1323.14020arXiv1203.0768MaRDI QIDQ5418548

Sotiris Karanikolopoulos, Aristides I. Kontogeorgis

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0768

zbMATH Keywords

automorphismscurvesdifferentials

Mathematics Subject Classification ID

Automorphisms of curves (14H37)

Related Items (3)

The equivariant Hilbert series of the canonical ring of Fermat curves ⋮ The relative canonical ideal of the Kummer-Artin Schreier-Witt family of curves ⋮ A generating set for the canonical ideal of HKG-curves

Cites Work

• Action of an automorphism of order p on cohomology groups of an algebraic curve
• Galois Weierstrass points and Hurwitz characters
• Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.)
• Automorphisms and holomorphic differentials in characteristic \(p\).
• Arithmetic in generalized Artin-Schreier extensions of k(x)
• Formal deformations of wildly ramified coverings of algebraic curves
• Galois module structure of holomorphic differentials in characteristic \(p\)
• Über die Ausreduktion ganzzahliger Gruppendarstellungen bei arithmetischer Äquivalenz
• On holomorphic polydifferentials in positive characteristic
• On the deformation of Artin-Schreier to Kummer
• Zur Theorie der Weierstraßpunkte.Hermann Ludwig Schmid zum Gedächtnis
• Oort groups and lifting problems
• Obstructions locales au relèvement de revêtements galoisiens de courbes lisses
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