Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic

DOI10.1215/S0012-7094-03-11632-4zbMath1092.14032arXivmath/0103207OpenAlexW2015445223MaRDI QIDQ1395918

Gunther Cornelissen, Fumiharu Kato

Publication date: 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103207

zbMATH Keywords

formal methodsMumford curvesrigid analytic geometrySchottky groupsautomorphisms of curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Drinfel'd modules; higher-dimensional motives, etc. (11G09) Rigid analytic geometry (14G22) Automorphisms of curves (14H37) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Generalized Artin-Mumford curves over finite fields, On holomorphic polydifferentials in positive characteristic, Automata and finite order elements in the Nottingham group, Liftings of coverings of weakly ramified curves, Which weakly ramified group actions admit a universal formal deformation?, Polydifferentials and the deformation functor of curves with automorphisms, The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves, A universal deformation ring of higher conductor, Explicit resolution of weak wild quotient singularities on arithmetic surfaces, The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence, Problems from the Workshop on Automorphisms of Curves, Mumford curves and Mumford groups in positive characteristic, Non-Archimedean orbifolds covered by Mumford curves, Problem of formation of quotients and base change, Some results about equivariant deformations of stable curves, Quadratic differentials and equivariant deformation theory of curves, Correction to: ``Discontinuous groups in positive characteristic and automorphisms of Mumford curves, Equivariant splitting of the Hodge-de Rham exact sequence, Equivariant deformations of semi-stable curves, A characterization of the Artin-Mumford curve

Cites Work

• Schottky groups and Mumford curves
• Formal and rigid geometry. I: Rigid spaces
• Formal deformations of wildly ramified coverings of algebraic curves
• Sur quelques points d'algèbre homologique
• p-Ranks and Automorphism Groups of Algebraic Curves
• Jacobians of Drinfeld modular curves.
• Functors of Artin Rings
• Discontinuous groups in positive characteristic and automorphisms of Mumford curves
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