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- P-adic_Teichmüller_theory abstract "In mathematics, p-adic Teichmüller theory describes the "uniformization" of p-adic curves and their moduli, generalizing the usual Teichmüller theory that describes the uniformization of Riemann surfaces and their moduli. It was introduced and developed by Mochizuki (1996, 1999).The first problem is to reformulate the Fuchsian uniformization of a complex Riemann surface (an isomorphism from the upper half plane to a universal covering space of the surface) in a way that makes sense for p-adic curves. The existence of a Fuchsian uniformization is equivalent to the existence of a canonical indigenous bundle over the Riemann surface: the unique indigenous bundle that is invariant under complex conjugation and whose monodromy representation is quasi-Fuchsian. For p-adic curves the analogue of complex conjugation is the Frobenius endomorphism, and the analogue of the quasi-Fuchsian condition is an integrality condition on the indigenous line bundle. So p-adic Teichmüller theory, the p-adic analogue the Fuchsian uniformization of Teichmüller theory, is the study of integral Frobenius invariant indigenous bundles.".
- P-adic_Teichmüller_theory wikiPageExternalLink books?id=JnMWs5BLTiEC.
- P-adic_Teichmüller_theory wikiPageExternalLink 1195145686.
- P-adic_Teichmüller_theory wikiPageExternalLink An%20Introduction%20to%20p-adic%20Teichmuller%20Theory.pdf.
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- P-adic_Teichmüller_theory wikiPageOutDegree "14".
- P-adic_Teichmüller_theory wikiPageRevisionID "631037422".
- P-adic_Teichmüller_theory wikiPageWikiLink American_Mathematical_Society.
- P-adic_Teichmüller_theory wikiPageWikiLink Category:Algebraic_geometry.
- P-adic_Teichmüller_theory wikiPageWikiLink Category:Number_theory.
- P-adic_Teichmüller_theory wikiPageWikiLink Frobenius_endomorphism.
- P-adic_Teichmüller_theory wikiPageWikiLink Indigenous_bundle.
- P-adic_Teichmüller_theory wikiPageWikiLink Inter-universal_Teichmüller_theory.
- P-adic_Teichmüller_theory wikiPageWikiLink Mathematics.
- P-adic_Teichmüller_theory wikiPageWikiLink Moduli_space.
- P-adic_Teichmüller_theory wikiPageWikiLink Modulus_pace.
- P-adic_Teichmüller_theory wikiPageWikiLink Monodromy.
- P-adic_Teichmüller_theory wikiPageWikiLink P-adic.
- P-adic_Teichmüller_theory wikiPageWikiLink P-adic_number.
- P-adic_Teichmüller_theory wikiPageWikiLink Riemann_surface.
- P-adic_Teichmüller_theory wikiPageWikiLink Riemann_surfaces.
- P-adic_Teichmüller_theory wikiPageWikiLink Teichmüller_space.
- P-adic_Teichmüller_theory wikiPageWikiLink Teichmüller_theory.
- P-adic_Teichmüller_theory wikiPageWikiLink Uniformization_theorem.
- P-adic_Teichmüller_theory wikiPageWikiLinkText "P-adic Teichmüller theory".
- P-adic_Teichmüller_theory wikiPageWikiLinkText "p-adic Teichmüller theory".
- P-adic_Teichmüller_theory authorlink "Shinichi Mochizuki".
- P-adic_Teichmüller_theory hasPhotoCollection P-adic_Teichmüller_theory.
- P-adic_Teichmüller_theory last "Mochizuki".
- P-adic_Teichmüller_theory wikiPageUsesTemplate Template:Citation.
- P-adic_Teichmüller_theory wikiPageUsesTemplate Template:Harvs.
- P-adic_Teichmüller_theory wikiPageUsesTemplate Template:Lowercase.
- P-adic_Teichmüller_theory wikiPageUsesTemplate Template:Numtheory-stub.
- P-adic_Teichmüller_theory year "1996".
- P-adic_Teichmüller_theory year "1999".
- P-adic_Teichmüller_theory subject Category:Algebraic_geometry.
- P-adic_Teichmüller_theory subject Category:Number_theory.
- P-adic_Teichmüller_theory comment "In mathematics, p-adic Teichmüller theory describes the "uniformization" of p-adic curves and their moduli, generalizing the usual Teichmüller theory that describes the uniformization of Riemann surfaces and their moduli.".
- P-adic_Teichmüller_theory label "P-adic Teichmüller theory".
- P-adic_Teichmüller_theory sameAs m.0m0g6vx.
- P-adic_Teichmüller_theory sameAs Q7116914.
- P-adic_Teichmüller_theory sameAs Q7116914.
- P-adic_Teichmüller_theory wasDerivedFrom P-adic_Teichmüller_theory?oldid=631037422.
- P-adic_Teichmüller_theory isPrimaryTopicOf P-adic_Teichmüller_theory.