### The hodge conjecture by 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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Daily Maths Topic Today - the hodge conjecture by william vallance douglas hodge.