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"Hodge conjecture" as a book category would gather works that revolve around one of the central, deep problems in modern algebraic geometry and its surrounding theory: the relationship between the topology of complex algebraic varieties and their algebraic cycles. Titles in this category would range from advanced research monographs and graduate textbooks on Hodge theory, complex geometry, and algebraic cycles to survey articles and problem collections that explain the conjecture's statement, techniques, partial results, and connections to number theory and topology. It would also include expository and popular-science treatments that tell the historical, philosophical, and human story of the conjecture and its protagonists, as well as lecture notes and computational guides for researchers and students who want to work on or understand current approaches to this still-open problem. The target audience spans professional mathematicians and graduate students to mathematically literate readers interested in the frontiers of pure mathematics.

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