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The Hodge conjecture is a fundamental statement in algebraic geometry and topology that relates the topology of a non-singular projective algebraic manifold to its algebraic cycles. Formulated by W.V. Hodge in the mid-20th century, the conjecture suggests that certain classes of cohomology groups of a projective algebraic variety have a specific geometric interpretation.

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  1. Homology theory
  2. Algebraic topology
  3. Fields of abstract algebra
  4. Fields of mathematics
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