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- Hodge_theory abstract "In mathematics, Hodge theory, named after W. V. D. Hodge, is one aspect of the study of differential forms of a smooth manifold M. More specifically, it works out the consequences for the cohomology groups of M, with real coefficients, of the partial differential equation theory of generalised Laplacian operators associated to a Riemannian metric on M.It was developed by Hodge in the 1930s as an extension of de Rham cohomology, and has major applications on three levels:Riemannian manifoldsKähler manifoldsalgebraic geometry of complex projective varieties, and even more broadly, motives.In the initial development, M was taken to be a closed manifold (that is, compact and without boundary). On all three levels, the theory was very influential on subsequent work, being taken up by Kunihiko Kodaira (in Japan and later, partly under the influence of Hermann Weyl, at Princeton) and many others subsequently.".
- Hodge_theory wikiPageExternalLink books?id=-8k8AAAAIAAJ.
- Hodge_theory wikiPageID "501590".
- Hodge_theory wikiPageLength "7687".
- Hodge_theory wikiPageOutDegree "55".
- Hodge_theory wikiPageRevisionID "636296222".
- Hodge_theory wikiPageWikiLink Algebraic_geometry.
- Hodge_theory wikiPageWikiLink Betti_number.
- Hodge_theory wikiPageWikiLink Cambridge_University_Press.
- Hodge_theory wikiPageWikiLink Category:Hodge_theory.
- Hodge_theory wikiPageWikiLink Closed_manifold.
- Hodge_theory wikiPageWikiLink Cohomology.
- Hodge_theory wikiPageWikiLink Compact_space.
- Hodge_theory wikiPageWikiLink Complexification.
- Hodge_theory wikiPageWikiLink De_Rham_cohomology.
- Hodge_theory wikiPageWikiLink Differentiable_manifold.
- Hodge_theory wikiPageWikiLink Differential_form.
- Hodge_theory wikiPageWikiLink Differential_operator.
- Hodge_theory wikiPageWikiLink Direct_sum.
- Hodge_theory wikiPageWikiLink Direct_sum_of_modules.
- Hodge_theory wikiPageWikiLink Elliptic_complex.
- Hodge_theory wikiPageWikiLink Elliptic_operator.
- Hodge_theory wikiPageWikiLink Exterior_derivative.
- Hodge_theory wikiPageWikiLink Filtration_(mathematics).
- Hodge_theory wikiPageWikiLink Greens_function.
- Hodge_theory wikiPageWikiLink Harmonic_(mathematics).
- Hodge_theory wikiPageWikiLink Harmonic_function.
- Hodge_theory wikiPageWikiLink Hermann_Weyl.
- Hodge_theory wikiPageWikiLink Hodge_conjecture.
- Hodge_theory wikiPageWikiLink Hodge_cycle.
- Hodge_theory wikiPageWikiLink Hodge_dual.
- Hodge_theory wikiPageWikiLink Hodge_structure.
- Hodge_theory wikiPageWikiLink Hodge–Arakelov_theory.
- Hodge_theory wikiPageWikiLink Kunihiko_Kodaira.
- Hodge_theory wikiPageWikiLink Kähler_manifold.
- Hodge_theory wikiPageWikiLink Laplace_operator.
- Hodge_theory wikiPageWikiLink Locally_constant_function.
- Hodge_theory wikiPageWikiLink Logarithmic_form.
- Hodge_theory wikiPageWikiLink Mathematics.
- Hodge_theory wikiPageWikiLink Monodromy.
- Hodge_theory wikiPageWikiLink Motive_(algebraic_geometry).
- Hodge_theory wikiPageWikiLink Partial_differential_equation.
- Hodge_theory wikiPageWikiLink Period_mapping.
- Hodge_theory wikiPageWikiLink Projective_variety.
- Hodge_theory wikiPageWikiLink Riemannian_manifold.
- Hodge_theory wikiPageWikiLink Sheaf_(mathematics).
- Hodge_theory wikiPageWikiLink Sheaf_cohomology.
- Hodge_theory wikiPageWikiLink Singular_homology.
- Hodge_theory wikiPageWikiLink Torelli_theorem.
- Hodge_theory wikiPageWikiLink Vector_bundle.
- Hodge_theory wikiPageWikiLink Vector_space.
- Hodge_theory wikiPageWikiLink W._V._D._Hodge.
- Hodge_theory wikiPageWikiLinkText "Hodge numbers".
- Hodge_theory wikiPageWikiLinkText "Hodge structures".
- Hodge_theory wikiPageWikiLinkText "Hodge theorem on harmonic forms".
- Hodge_theory wikiPageWikiLinkText "Hodge theorem".
- Hodge_theory wikiPageWikiLinkText "Hodge theory".
- Hodge_theory wikiPageWikiLinkText "Hodge-theoretic".
- Hodge_theory wikiPageWikiLinkText "harmonic differential form".
- Hodge_theory wikiPageWikiLinkText "harmonic form".
- Hodge_theory wikiPageWikiLinkText "harmonic p-form".
- Hodge_theory wikiPageWikiLinkText "harmonic vector field".
- Hodge_theory wikiPageWikiLinkText "mixed Hodge theory".
- Hodge_theory wikiPageUsesTemplate Template:Citation.
- Hodge_theory wikiPageUsesTemplate Template:Cite_book.
- Hodge_theory wikiPageUsesTemplate Template:Main.
- Hodge_theory subject Category:Hodge_theory.
- Hodge_theory hypernym Aspect.
- Hodge_theory type Saint.
- Hodge_theory type Method.
- Hodge_theory type Concept.
- Hodge_theory comment "In mathematics, Hodge theory, named after W. V. D. Hodge, is one aspect of the study of differential forms of a smooth manifold M.".
- Hodge_theory label "Hodge theory".
- Hodge_theory sameAs Q1317202.
- Hodge_theory sameAs Hodge-Zerlegung.
- Hodge_theory sameAs Teoría_de_Hodge.
- Hodge_theory sameAs Théorie_de_Hodge.
- Hodge_theory sameAs Teoria_di_Hodge.
- Hodge_theory sameAs ホッジ理論.
- Hodge_theory sameAs 호지_이론.
- Hodge_theory sameAs Hodge-theorie.
- Hodge_theory sameAs Teoria_de_Hodge.
- Hodge_theory sameAs m.02hykg.
- Hodge_theory sameAs Теория_Ходжа.
- Hodge_theory sameAs Q1317202.
- Hodge_theory sameAs 霍奇理论.
- Hodge_theory wasDerivedFrom Hodge_theory?oldid=636296222.
- Hodge_theory isPrimaryTopicOf Hodge_theory.