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-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’-
(more specifically, the ‘conjecture’ says that certain ‘de rham co-homology classes’ are ‘algebraic’)
(that is, they are sums of ‘poincaré duals’ of the ‘homology classes’ of ‘sub-varieties’)
(/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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*👨🔬🕵️♀️🙇♀️*SKETCHES*🙇♂️👩🔬🕵️♂️*
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*🌈✨ *TABLE OF CONTENTS* ✨🌷*
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🔥🔥🔥🔥🔥🔥*we won the war* 🔥🔥🔥🔥🔥🔥