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Every holomorphic vector bundle on a stein manifold is Nakano positive?

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#differential-geometry #reference-request #complex-geometry #vector-bundles #holomorphic-bundles
68
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A homotopy where all intermediate maps have holomorphic antiderivatives

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#complex-analysis #differential-geometry #complex-geometry #riemann-surfaces #holomorphic-bundles
79
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Can we ignore the ``holomorphic trivialisation'' in the definition of a holomorphic vector bundle?

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#complex-geometry #vector-bundles #complex-manifolds #holomorphic-bundles
295
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Show that a space of holomorphic sections of a line bundle is isomorphic to the space of meromorphic functions on a Riemann surface.

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#complex-geometry #vector-bundles #riemann-surfaces #holomorphic-bundles #line-bundles
308
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Canonical section of a Hirzebruch surface

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#algebraic-geometry #algebraic-topology #complex-geometry #holomorphic-bundles
216
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Proper actions in complex geometry

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#reference-request #complex-geometry #covering-spaces #quotient-spaces #holomorphic-bundles
229
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Question about equivalent definitions of (holomorphic) line bundles

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#complex-geometry #vector-bundles #holomorphic-bundles
150
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Conditions for a Connection to be a Metric(or Chern) Connection

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#complex-geometry #vector-bundles #holomorphic-bundles #holonomy
98
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Multiplication in Deligne cohomology: explicit formula for p = q= 1

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#complex-analysis #algebraic-geometry #complex-geometry #holomorphic-bundles
228
Views

Finding a conformal mapping to the unit disc, from the unit disc missing the x axis

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#complex-analysis #conformal-geometry #holomorphic-bundles
212
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Integrating the top Chern class, where am I going wrong?

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#differential-geometry #vector-bundles #characteristic-classes #holomorphic-bundles
597
Views

Why are holomorphic vector bundles over $\mathbb{C}^n$ trivial?

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#complex-geometry #holomorphic-bundles
123
Views

Requirements on holomorphic embedding in terms of the associated line bundle

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#algebraic-geometry #riemann-surfaces #complex-geometry #vector-bundles #holomorphic-bundles
703
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What's the intuition for the fact that $\mathscr{O}(-k)$ and $\mathscr{O}(k)$ are so different?

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#complex-analysis #algebraic-geometry #vector-bundles #holomorphic-bundles
1.2k
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Holomorphic Differentials on a non-singular curve.

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry #holomorphic-bundles

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