This booklet presents an advent to an issue of critical curiosity in transcendental algebraic geometry: the Hodge conjecture. such as 15 lectures plus addenda and appendices, the quantity is predicated on a sequence of lectures introduced by way of Professor Lewis on the Centre de Recherches Mathematiques (CRM). The e-book is a self-contained presentation, thoroughly dedicated to the Hodge conjecture and similar subject matters. It comprises many examples, and so much effects are thoroughly confirmed or sketched. the inducement in the back of a number of the effects and heritage fabric is equipped. This entire method of the publication supplies it a ``user-friendly'' sort. Readers needn't seek in other places for numerous effects. The e-book is acceptable to be used as a textual content for a subject matters direction in algebraic geometry; comprises an appendix via B. Brent Gordon.
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