The Holomorphic Lefschetz Fixed-Point Formula is a powerful tool in complex geometry that generalizes the Lefschetz fixed-point theorem to holomorphic mappings on complex manifolds. It provides a way to compute the number of fixed points of a holomorphic map by relating it to topological data, particularly the trace of the induced action on cohomology. This formula connects the behavior of holomorphic functions with deep topological properties, making it essential for various applications in mathematics.
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