The connecting homomorphism of
(1)
sends a divisor on a complex manifold to its holomorphic line bundle associated to a divisor in the Picard group. Its kernel consists exactly of the principal divisors of global nonzero meromorphic functions.

Ancestors (13)

  1. Divisor sheaf on a complex manifold
  2. Sheaf of meromorphic functions on a complex manifold
  3. Divisor on a complex manifold
  4. Complex analytic hypersurface
  5. Complex manifold
  6. Integrable almost complex structure
  7. Almost complex manifold
  8. Complex structure
  9. Complex geometry
  10. Geometry and topology
  11. Area of mathematics
  12. Mathematics
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