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15
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Chern classes and the Jacobian

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#algebraic-geometry #complex-geometry #holomorphic-bundles #line-bundles
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conjugate bundle

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#vector-bundles #holomorphic-bundles
119
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Extension of a vector bundle

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#complex-geometry #vector-bundles #connections #holomorphic-bundles
57
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Holomorphic functions on Complex Space

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#vector-bundles #holomorphic-bundles
458
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Complex Vector Bundle vs Holomorphic Vector Bundle vs Almost Complex Structures

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#complex-analysis #complex-manifolds #holomorphic-bundles #almost-complex
950
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Three 'equivalent' definitions of a holomorphic vector bundle

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#differential-geometry #complex-geometry #vector-bundles #holomorphic-bundles
134
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Pullback of local sections over the total space

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#principal-bundles #holomorphic-bundles
44
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Let $M$ be a complex manifold. Why are the bundles $\bigwedge^{p, q}M$ not holomorphic vector bundles over $M$ for $q \neq 0$ ?

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#complex-geometry #vector-bundles #complex-manifolds #holomorphic-bundles
140
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Is $\bigwedge^{p,0}M$ a holomorphic vector bundle?

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#complex-geometry #vector-bundles #holomorphic-bundles
333
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(Real) holomorphic vector fields on Compact Kähler manifolds

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#differential-geometry #riemannian-geometry #complex-geometry #kahler-manifolds #holomorphic-bundles
160
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A question about Narasimhan-Seshadri Donaldson theorem.

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#connections #holomorphic-bundles
157
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Deformation theory of holomorphic vector bundles in Donaldson-Kronheimer

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#deformation-theory #gauge-theory #holomorphic-bundles
49
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Holomorphic bundle - holomorphic structure problem

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#complex-geometry #vector-bundles #holomorphic-bundles
67
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(1,0)-forms/bundle problem

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#algebraic-geometry #complex-geometry #vector-bundles #holomorphic-bundles
563
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Zeros of a global section on a holomorphic line bundle

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#algebraic-geometry #holomorphic-bundles #line-bundles

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