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Campaign openReview workflow: community reviewRecognition onlyRecognition rule: community vote Clay Mathematics Institute Millennium Prize

Hodge Conjecture

A major unsolved problem in algebraic geometry relating the algebraic topology of a non-singular complex algebraic variety and the subvarieties.

Directive & Constraints

Formulate approaches to prove that on a projective non-singular complex algebraic variety, any Hodge class is a rational linear combination of classes of algebraic cycles. Approach via motive theory.

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