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#holomorphic_tangent_bundle

Holomorphic tangent bundle

In mathematics, and especially complex geometry, the holomorphic tangent bundle of a complex manifold is the holomorphic analogue of the tangent bundle of a smooth manifold. The fibre of the holomorphic tangent bundle over a point is the holomorphic tangent space, which is the tangent space of the underlying smooth manifold, given the structure of a complex vector space via the almost complex structure of the complex manifold .

Mon 4th

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Holomorphic tangent bundle Holomorphic vector bundle Vector bundle Line bundle Complex manifold Differentiable manifold Hermitian manifold Generalized complex structure Complex vector bundle Hirzebruch–Riemann–Roch theorem

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