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- Hodge–Arakelov_theory abstract "In mathematics, Hodge–Arakelov theory of elliptic curves is an analogue of classical and p-adic Hodge theory for elliptic curves carried out in the framework of Arakelov theory. It was introduced by Mochizuki (1999).Mochizuki's main comparison theorem in Hodge–Arakelov theory states (roughly) that the space of polynomial functions of degree less than d on the universal extension of a smooth elliptic curve in characteristic 0 is naturally isomorphic (via restriction) to the d2-dimensional space of functions on the d-torsion points. It is called a comparison theorem as it is an analogue for Arakelov theory of comparison theorems in cohomology relating de Rham cohomology to singular cohomology of complex varieties or étale cohomology of p-adic varieties.In Mochizuki (1999) and Mochizuki (2002a) he pointed out that arithmetic Kodaira-Spencer map and Gauss-Manin connection may give some important hints for Vojta's conjecture, ABC conjecture and so on.".
- Hodge–Arakelov_theory wikiPageExternalLink The%20Hodge-Arakelov%20Theory%20of%20Elliptic%20Curves.pdf.
- Hodge–Arakelov_theory wikiPageExternalLink A%20Survey%20of%20the%20Hodge-Arakelov%20Theory%20of%20Elliptic%20Curves%20I.pdf.
- Hodge–Arakelov_theory wikiPageExternalLink A%20Survey%20of%20the%20Hodge-Arakelov%20Theory%20of%20Elliptic%20Curves%20II.pdf.
- Hodge–Arakelov_theory wikiPageID "37007490".
- Hodge–Arakelov_theory wikiPageLength "2801".
- Hodge–Arakelov_theory wikiPageOutDegree "17".
- Hodge–Arakelov_theory wikiPageRevisionID "631966318".
- Hodge–Arakelov_theory wikiPageWikiLink Abc_conjecture.
- Hodge–Arakelov_theory wikiPageWikiLink American_Mathematical_Society.
- Hodge–Arakelov_theory wikiPageWikiLink Arakelov_theory.
- Hodge–Arakelov_theory wikiPageWikiLink Category:Algebraic_geometry.
- Hodge–Arakelov_theory wikiPageWikiLink Category:Number_theory.
- Hodge–Arakelov_theory wikiPageWikiLink Characteristic_(algebra).
- Hodge–Arakelov_theory wikiPageWikiLink De_Rham_cohomology.
- Hodge–Arakelov_theory wikiPageWikiLink Elliptic_curve.
- Hodge–Arakelov_theory wikiPageWikiLink Gauss–Manin_connection.
- Hodge–Arakelov_theory wikiPageWikiLink Hodge_theory.
- Hodge–Arakelov_theory wikiPageWikiLink Isomorphism.
- Hodge–Arakelov_theory wikiPageWikiLink Mathematics.
- Hodge–Arakelov_theory wikiPageWikiLink Polynomial.
- Hodge–Arakelov_theory wikiPageWikiLink Singular_homology.
- Hodge–Arakelov_theory wikiPageWikiLink Torsion_(algebra).
- Hodge–Arakelov_theory wikiPageWikiLink Vojtas_conjecture.
- Hodge–Arakelov_theory wikiPageWikiLink Étale_cohomology.
- Hodge–Arakelov_theory wikiPageWikiLinkText "Hodge–Arakelov theory".
- Hodge–Arakelov_theory wikiPageUsesTemplate Template:Citation.
- Hodge–Arakelov_theory wikiPageUsesTemplate Template:Harvs.
- Hodge–Arakelov_theory subject Category:Algebraic_geometry.
- Hodge–Arakelov_theory subject Category:Number_theory.
- Hodge–Arakelov_theory hypernym Analogue.
- Hodge–Arakelov_theory type Drug.
- Hodge–Arakelov_theory type Field.
- Hodge–Arakelov_theory comment "In mathematics, Hodge–Arakelov theory of elliptic curves is an analogue of classical and p-adic Hodge theory for elliptic curves carried out in the framework of Arakelov theory.".
- Hodge–Arakelov_theory label "Hodge–Arakelov theory".
- Hodge–Arakelov_theory sameAs Q5876138.
- Hodge–Arakelov_theory sameAs ホッジ・アラケロフ理論.
- Hodge–Arakelov_theory sameAs m.0n482pr.
- Hodge–Arakelov_theory sameAs Hodge–Arakelovteori.
- Hodge–Arakelov_theory sameAs Q5876138.
- Hodge–Arakelov_theory wasDerivedFrom Hodge–Arakelov_theory?oldid=631966318.
- Hodge–Arakelov_theory isPrimaryTopicOf Hodge–Arakelov_theory.