A holomorphic subbundle of a holomorphic vector bundle is a constant-rank vector subbundle which is locally spanned by a holomorphic linearly independent family of sections and whose inclusion is a holomorphic bundle map. It has an induced holomorphic vector bundle structure. A varying-rank coherent subsheaf is not generally a subbundle.

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