Keywords

#holomorphic_vector_bundle

Holomorphic vector bundle

Complex vector bundle on a complex manifold

In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold X such that the total space E is a complex manifold and the projection map π : E → X is holomorphic. Fundamental examples are the holomorphic tangent bundle of a complex manifold, and its dual, the holomorphic cotangent bundle. A holomorphic line bundle is a rank one holomorphic vector bundle.

Sun 26th

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Holomorphic vector bundle Vector bundle Stable vector bundle Complex vector bundle Holomorphic tangent bundle Higgs bundle Line bundle Birkhoff–Grothendieck theorem Complex geometry Hermitian Yang–Mills connection
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