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The Holomorphic Lefschetz fixed-point formula is an important result in complex geometry and algebraic geometry that relates fixed points of holomorphic maps to topological invariants of the underlying space. It is an extension of the classical Lefschetz fixed-point theorem which applies to smooth (differentiable) maps. ### Key Concepts 1.

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  1. Complex manifolds
  2. Structures on manifolds
  3. Algebraic geometry
  4. Fields of mathematics
  5. Mathematics
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