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- Hodge_conjecture abstract "The Hodge conjecture is a major unsolved problem in algebraic geometry that relates the algebraic topology of a non-singular complex algebraic variety and the subvarieties of that variety. More specifically, the conjecture says that certain de Rham cohomology classes are algebraic, that is, they are sums of Poincaré duals of the homology classes of subvarieties. It was formulated by the Scottish mathematician William Vallance Douglas Hodge as a result of a work in between 1930 and 1940 to enrich the description of de Rham cohomology to include extra structure that is present in the case of complex algebraic varieties. It received little attention before Hodge presented it in an address during the 1950 International Congress of Mathematicians, held in Cambridge, Massachusetts, U.S. The Hodge conjecture is one of the Clay Mathematics Institute's Millennium Prize Problems, with a prize of $1,000,000 for whoever can prove or disprove the Hodge conjecture using "some argument".".
- Hodge_conjecture wikiPageExternalLink CM_1977__34_2_199_0.pdf.
- Hodge_conjecture wikiPageExternalLink 0007192v1.
- Hodge_conjecture wikiPageExternalLink why-believe-the-hodge-conjecture.
- Hodge_conjecture wikiPageExternalLink hodgeconjecture.mov.
- Hodge_conjecture wikiPageExternalLink hodge.pdf.
- Hodge_conjecture wikiPageExternalLink netscape_noframes.html.
- Hodge_conjecture wikiPageExternalLink hodgeloci.pdf.
- Hodge_conjecture wikiPageID "244518".
- Hodge_conjecture wikiPageRevisionID "604314919".
- Hodge_conjecture hasPhotoCollection Hodge_conjecture.
- Hodge_conjecture subject Category:Algebraic_geometry.
- Hodge_conjecture subject Category:Conjectures.
- Hodge_conjecture subject Category:Hodge_theory.
- Hodge_conjecture subject Category:Homology_theory.
- Hodge_conjecture subject Category:Millennium_Prize_Problems.
- Hodge_conjecture type Abstraction100002137.
- Hodge_conjecture type Attribute100024264.
- Hodge_conjecture type Cognition100023271.
- Hodge_conjecture type Concept105835747.
- Hodge_conjecture type Condition113920835.
- Hodge_conjecture type Conjectures.
- Hodge_conjecture type Content105809192.
- Hodge_conjecture type Difficulty114408086.
- Hodge_conjecture type Hypothesis105888929.
- Hodge_conjecture type Idea105833840.
- Hodge_conjecture type MillenniumPrizeProblems.
- Hodge_conjecture type Problem114410605.
- Hodge_conjecture type PsychologicalFeature100023100.
- Hodge_conjecture type Speculation105891783.
- Hodge_conjecture type State100024720.
- Hodge_conjecture comment "The Hodge conjecture is a major unsolved problem in algebraic geometry that relates the algebraic topology of a non-singular complex algebraic variety and the subvarieties of that variety. More specifically, the conjecture says that certain de Rham cohomology classes are algebraic, that is, they are sums of Poincaré duals of the homology classes of subvarieties.".
- Hodge_conjecture label "Congettura di Hodge".
- Hodge_conjecture label "Conjectura de Hodge".
- Hodge_conjecture label "Conjecture de Hodge".
- Hodge_conjecture label "Conjetura de Hodge".
- Hodge_conjecture label "Hodge conjecture".
- Hodge_conjecture label "Vermoeden van Hodge".
- Hodge_conjecture label "Vermutung von Hodge".
- Hodge_conjecture label "Гипотеза Ходжа".
- Hodge_conjecture label "حدسية هودج".
- Hodge_conjecture label "ホッジ予想".
- Hodge_conjecture label "霍奇猜想".
- Hodge_conjecture sameAs Vermutung_von_Hodge.
- Hodge_conjecture sameAs Conjetura_de_Hodge.
- Hodge_conjecture sameAs Conjecture_de_Hodge.
- Hodge_conjecture sameAs Congettura_di_Hodge.
- Hodge_conjecture sameAs ホッジ予想.
- Hodge_conjecture sameAs 호지_추측.
- Hodge_conjecture sameAs Vermoeden_van_Hodge.
- Hodge_conjecture sameAs Conjectura_de_Hodge.
- Hodge_conjecture sameAs m.01kf1y.
- Hodge_conjecture sameAs Q1143138.
- Hodge_conjecture sameAs Q1143138.
- Hodge_conjecture sameAs Hodge_conjecture.
- Hodge_conjecture wasDerivedFrom Hodge_conjecture?oldid=604314919.
- Hodge_conjecture homepage hodge.pdf.
- Hodge_conjecture isPrimaryTopicOf Hodge_conjecture.