List questions from complex-manifolds

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Complex manifold with subvarieties but no submanifolds

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When exactly is a compact complex manifold algebraic?

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874

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Local defining functions on real hypersurfaces.

Published on 17 May 2016 - 8:50

217

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Are Fuchsian groups without elliptic and parabolic elements at most countable?

Published on 17 May 2016 - 9:30

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Identification of the holomorphic tangent space with the real tangent space

Published on 05 Jun 2016 - 11:15

190

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Griffiths and Harris $\mu=\mathcal{H}(\mu)+dd^*G(\mu)$

Published on 05 Jun 2016 - 19:31

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Almost complex manifolds are orientable

Published on 14 Mar 2026 - 6:54

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Does there exist a holomorphic structure on $S^6$?

Published on 10 Jun 2016 - 12:15

236

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What is the definition of the dimension of an algebraic manifold?

Published on 01 Jul 2016 - 2:00

208

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Cohomology of $\mathcal O(k)$

Published on 07 Sep 2013 - 18:41

98

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What is a $c_1$-map for Riemann-Roch theorems?

Published on 26 Mar 2026 - 1:28

881

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Algebraic varieties in $\mathbb{C}^n$ cannot have interior points

Published on 02 Oct 2013 - 0:27

89

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Is there a compact complex manifold with trivial $H_2$?

Published on 09 Nov 2013 - 21:05

79

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Help with local coordinates computations-differential forms

Published on 10 Dec 2013 - 5:27

List Question

Linear fractional transformation of quadratic differentials on the Riemann sphere

Complex manifold with subvarieties but no submanifolds

When exactly is a compact complex manifold algebraic?

Local defining functions on real hypersurfaces.

Are Fuchsian groups without elliptic and parabolic elements at most countable?

Identification of the holomorphic tangent space with the real tangent space

Griffiths and Harris $\mu=\mathcal{H}(\mu)+dd^*G(\mu)$

Almost complex manifolds are orientable

Does there exist a holomorphic structure on $S^6$?

What is the definition of the dimension of an algebraic manifold?

Cohomology of $\mathcal O(k)$

What is a $c_1$-map for Riemann-Roch theorems?

Algebraic varieties in $\mathbb{C}^n$ cannot have interior points

Is there a compact complex manifold with trivial $H_2$?

Help with local coordinates computations-differential forms

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