Abstract
Complex manifolds Vector bundles Kahler manifolds Line bundles The Lefschetz (1,1) theorem The Lefschetz (1,1) theorem revisited Formulation of the general Hodge conjecture Chern class theory Cohomology of complete intersections The Hodge theorem Analytic and topological necessities of the Kahler condition Intermediate Jacobians Various approaches to the Hodge conjecture for varieties with well understood geometric structure The approach to the Hodge conjecture via normal functions Hodge theory and Chow groups Results and formulations in the singular case A survey of the Hodge conjecture for abelian varieties Index Index of notation.
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