List questions from complex-manifolds

Published on 30 Jun 2018 - 23:42

60

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Does the locally-ringed spaces viewpoint on topology actually do what we want?

Published on 19 Mar 2026 - 20:03

51

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Is $\mathbb{R}^2$ with a non euclidian metric a Riemann surface?

Published on 09 Aug 2018 - 3:07

65

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Transition maps for holomorphic vector bundle

Published on 22 Mar 2026 - 15:35

146

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Manifolds with varying (local or global) dimension

Published on 22 Mar 2026 - 18:37

61

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Uniformization for possibly singular analytic curves

Published on 22 Mar 2026 - 20:03

341

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Can a complex manifold that is not a Calabi-Yau manifold be homeomorphic to a Calabi-Yau manifold?

Published on 23 Feb 2026 - 10:22

188

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Is the Calabi-Yau property of a smooth manifold a differential invariant?

Published on 19 Mar 2026 - 16:22

229

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How do I prove this map is a covering Projection

Published on 22 Mar 2026 - 16:50

73

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Intuitive understanding of complex tori

Published on 22 Mar 2026 - 12:15

400

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The pullback line bundle restricted on the exceptional divisor is trivial

Published on 13 Nov 2018 - 1:29

698

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Vanishing of the Nijenhuis tensor

Published on 22 Mar 2026 - 9:53

96

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Explanation of complex differential forms in terms of smooth differential forms

Published on 16 Dec 2018 - 17:33

924

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Weierstrass $\wp$-function defines a map from the torus to an elliptic curve. Why is it injective?

Published on 17 Dec 2018 - 1:45

78

Views

Can we ignore the ``holomorphic trivialisation'' in the definition of a holomorphic vector bundle?

Published on 10 Jan 2019 - 17:31

List Question

Definition of holomorphic $\mathbb{C}^{\ast}$-action on a complex manifold

Does the locally-ringed spaces viewpoint on topology actually do what we want?

Is $\mathbb{R}^2$ with a non euclidian metric a Riemann surface?

Transition maps for holomorphic vector bundle

Manifolds with varying (local or global) dimension

Uniformization for possibly singular analytic curves

Can a complex manifold that is not a Calabi-Yau manifold be homeomorphic to a Calabi-Yau manifold?

Is the Calabi-Yau property of a smooth manifold a differential invariant?

How do I prove this map is a covering Projection

Intuitive understanding of complex tori

The pullback line bundle restricted on the exceptional divisor is trivial

Vanishing of the Nijenhuis tensor

Explanation of complex differential forms in terms of smooth differential forms

Weierstrass $\wp$-function defines a map from the torus to an elliptic curve. Why is it injective?

Can we ignore the ``holomorphic trivialisation'' in the definition of a holomorphic vector bundle?

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