[the “hodge conjecture” is a ‘major’ (how major?) unsolved problem’ in ‘algebraic geometry’ which relates the ‘algebraic topology’ of a ‘non-singular complex algebraic variety’ + the ‘sub-varieties’ of that ‘variety’]
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(more specifically, the ‘conjecture’ says that certain ‘de rham co-homology classes’ are ‘algebraic’)
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(that is, they are sums of ‘poincaré duals’ of the ‘homology classes’ of ‘sub-varieties’)
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(/hɒdʒ/;
17 June 1903 – 7 July 1975
Sir William Vallance Douglas Hodge FRS FRSE was a British mathematician, specifically a geometer.
His discovery of far-reaching topological relations between algebraic geometry and differential geometry—an area now called Hodge theory and pertaining more generally to Kähler manifolds—has been a major influence on subsequent work in geometry.
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