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The hodge conjecture by william vallance douglas hodge

William Vallance Douglas Hodge

It is a major problem that is not solved in algebraic geometry which relates to the algebraic topology of a 'non-singular complex algebraic variety' and the sub part of this variety. It is one of the Millennium Prize Problem, announced by Clay Mathematics Institute.

  • It was formulated by the Scottish mathematician 'William Vallance Douglas Hodge'.
  • The first result on the Hodge conjecture is due to Lefschetz.
  • This technique is useful that it generalized in many different ways.
  • Known cases of the Hodge conjecture are,
  • Low dimension and co-dimension

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