In a holomorphic local frame, a meromorphic section has a meromorphic scalar coefficient; the coefficients transform by the bundle's transition functions of a vector bundle. A nonzero meromorphic section has a divisor on a complex manifold recording its zero and pole orders.

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  1. Holomorphic line bundle
  2. Holomorphic vector bundle
  3. Complex manifold
  4. Integrable almost complex structure
  5. Almost complex manifold
  6. Complex structure
  7. Complex geometry
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
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