List questions from kahler-manifolds

Published on 06 Jan 2019 - 4:55

514

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Direct proof that a parallel almost complex structure is integrable

Published on 18 Jan 2019 - 14:23

189

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Automorphism that preserves Kahler class

Published on 21 Jan 2019 - 1:50

408

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Kahler metric and $(1,1)$- forms

Published on 25 Mar 2026 - 1:25

241

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Kähler Potential on Blowup of $\mathbb{C}/\{\pm 1\}$

Published on 19 Mar 2026 - 16:49

53

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The geometric meaning of isotropy in Kahler manifold

Published on 15 Feb 2019 - 2:34

77

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$ \langle\Delta_\partial\omega,\omega\rangle = || \partial \omega||^2 + ||\partial^*\omega||^2 $ on compact Kahler manifold

Published on 21 Feb 2019 - 2:32

51

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Induced isomorphism between $H^{1,0}(X)$ and $H^{1,0}(Y)$ implies the induced isomorphism between $H^{0,1}(X)$ and $H^{0,1}(Y)$?

Published on 25 Mar 2026 - 1:28

37

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$\alpha\wedge\overline{\alpha}$ is nontrivial in $H^{p,p}(X)$ for a global holomorphic p-form $\alpha$

Published on 25 Mar 2026 - 1:28

292

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Does a connection satisfying $(\nabla_X g)(Y,Z)-(\nabla_Y g)(X,Z)=0$ have a special name or satisfy a special property?

Published on 02 May 2019 - 15:38

181

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Complex structure is determined in a compatible triple in a Kähler space

Published on 12 May 2019 - 23:02

305

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Reading material for Kähler geometry

Published on 15 May 2019 - 8:08

33

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Explicit representation of complex structures in local coordinates

Published on 19 May 2019 - 0:24

52

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Metric on the complement of a divisor is complete?

Published on 25 May 2019 - 15:44

108

Views

Explicit computation of the first Chern class of a quintic three-fold

Published on 24 Mar 2026 - 8:15

List Question

Why is the Albanese map well-defined?

Direct proof that a parallel almost complex structure is integrable

Automorphism that preserves Kahler class

Kahler metric and $(1,1)$- forms

Kähler Potential on Blowup of $\mathbb{C}/\{\pm 1\}$

The geometric meaning of isotropy in Kahler manifold

$ \langle\Delta_\partial\omega,\omega\rangle = || \partial \omega||^2 + ||\partial^*\omega||^2 $ on compact Kahler manifold

Induced isomorphism between $H^{1,0}(X)$ and $H^{1,0}(Y)$ implies the induced isomorphism between $H^{0,1}(X)$ and $H^{0,1}(Y)$?

$\alpha\wedge\overline{\alpha}$ is nontrivial in $H^{p,p}(X)$ for a global holomorphic p-form $\alpha$

Does a connection satisfying $(\nabla_X g)(Y,Z)-(\nabla_Y g)(X,Z)=0$ have a special name or satisfy a special property?

Complex structure is determined in a compatible triple in a Kähler space

Reading material for Kähler geometry

Explicit representation of complex structures in local coordinates

Metric on the complement of a divisor is complete?

Explicit computation of the first Chern class of a quintic three-fold

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