This publication presents an advent to a subject of crucial curiosity in transcendental algebraic geometry: the Hodge conjecture. which include 15 lectures plus addenda and appendices, the quantity relies on a sequence of lectures brought 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 comparable subject matters. It comprises many examples, and such a lot effects are thoroughly confirmed or sketched. the inducement at the back of a number of the effects and historical past fabric is supplied. This accomplished method of the publication supplies it a ``user-friendly'' sort. Readers needn't seek in other places for varied effects. The booklet is acceptable to be used as a textual content for a issues path in algebraic geometry; comprises an appendix via B. Brent Gordon.
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