Action of an automorphism of order p on cohomology groups of an algebraic curve

DOI10.1016/0022-4049(86)90062-9zbMath0607.14022OpenAlexW1977447291MaRDI QIDQ1085234

Shoichi Nakajima

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90062-9

zbMATH Keywords

cohomology groupWitt vector ringaction of an automorphism of order pconnected complete non-singular curvestamely ramified Galois coverings

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Classical real and complex (co)homology in algebraic geometry (14F25) Coverings of curves, fundamental group (14H30)

Related Items

On the deformation of Artin-Schreier to Kummer, The equivariant Hilbert series of the canonical ring of Fermat curves, Polydifferentials and the deformation functor of curves with automorphisms, On representations of finite transformation groups of algebraic curves and surfaces, Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms, Quadratic differentials and equivariant deformation theory of curves, Cohomology of \(G\)-sheaves in positive characteristic, Equivariant splitting of the Hodge-de Rham exact sequence

Cites Work

• Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties
• The canonical lifting of an ordinary Jacobian variety need not be a Jacobian variety
• Representations of cyclic groups in rings of integers. I
• Automorphisms and holomorphic differentials in characteristic \(p\).
• The irreducibility of the space of curves of a given genus
• On the deformation of Artin-Schreier to Kummer
• On Galois module structure of the cohomology groups of an algebraic variety
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