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Hodge and generalized Hodge conjectures, coniveau and algebraic cycles
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This is a survey of the Hodge conjecture, with emphasis on its companion, the generalized Hodge conjecture, which involves the theory of Hodge structures, algebraic cycles and motives.
Title: Hodge and generalized Hodge conjectures, coniveau and algebraic cycles
Description:
This is a survey of the Hodge conjecture, with emphasis on its companion, the generalized Hodge conjecture, which involves the theory of Hodge structures, algebraic cycles and motives.
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This paper establishes a comprehensive differential algebraic framework for constructive Hodge theory on compact K¨ahler manifolds. We define the Hodge closure KHodge, a differenti...
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