The Mittag-Leffler problem asks for a global meromorphic function with prescribed principal parts at a discrete collection of points. For a finite collection, those principal parts define a Čech cocycle for the sheaf ; vanishing of its class in is exactly the condition that the problem has a solution.

Ancestors (14)

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