List questions from kahler-manifolds

Published on 10 Sep 2020 - 13:14

198

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Some identity in Kähler geometry

Published on 15 Sep 2020 - 9:49

61

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Is a compact Kähler manifold $X$ with $c_1(X)<0$ projective?

Published on 17 Sep 2020 - 15:20

259

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Examples of compact Kähler manifolds with $H^2(X,\mathbb Z)\cap H^{1,1}(X)=0$

Published on 18 Sep 2020 - 8:55

276

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Projective fibration over a projective manifold

Published on 25 Sep 2020 - 18:58

178

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Is the quotient of a projective manifold still a projective manifold?

Published on 25 Sep 2020 - 19:31

139

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Is a Kähler manifold with fiber $F$ satisying $H^i(F,\mathcal O)=0$ projective?

Published on 09 Oct 2020 - 18:27

82

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Let $X$ be a compact Kaehler manifold. Is the group of holomorphic isometries of $X$ compact?

Published on 01 Nov 2020 - 13:09

96

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Is a Kähler class of the submanifold always deducible from the outer space?

Published on 08 Nov 2020 - 19:56

214

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$(p,q)$-Forms on Complex Vector Spaces and the Positive $(1,1)$-Form Associated to a Hermitian Scalar Product

Published on 13 Nov 2020 - 11:45

28

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Derive equivalent relation using two forms

Published on 23 Nov 2020 - 22:21

543

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The Ricci form and the Chern class?

Published on 25 Nov 2020 - 15:44

127

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Metric tensor of a space as an induced metric from embedding in complex space, and dilations thereof.

Published on 26 Mar 2026 - 8:23

51

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Is $\langle f, h \rangle_{\omega}$ real on a Kaehler manifold with Kaehler metric $\omega$?

Published on 02 Dec 2020 - 18:07

153

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$H^{1,1}(X) \cap H^2(X,\mathbb Z)\neq 0$ implies $\mathcal K_X \cap H^2(X,\mathbb Z) \neq \emptyset$?

Published on 18 Dec 2020 - 8:38

List Question

A Riemann surface with non-constant Gaussian curvature

Some identity in Kähler geometry

Is a compact Kähler manifold $X$ with $c_1(X)<0$ projective?

Examples of compact Kähler manifolds with $H^2(X,\mathbb Z)\cap H^{1,1}(X)=0$

Projective fibration over a projective manifold

Is the quotient of a projective manifold still a projective manifold?

Is a Kähler manifold with fiber $F$ satisying $H^i(F,\mathcal O)=0$ projective?

Let $X$ be a compact Kaehler manifold. Is the group of holomorphic isometries of $X$ compact?

Is a Kähler class of the submanifold always deducible from the outer space?

$(p,q)$-Forms on Complex Vector Spaces and the Positive $(1,1)$-Form Associated to a Hermitian Scalar Product

Derive equivalent relation using two forms

The Ricci form and the Chern class?

Metric tensor of a space as an induced metric from embedding in complex space, and dilations thereof.

Is $\langle f, h \rangle_{\omega}$ real on a Kaehler manifold with Kaehler metric $\omega$?

$H^{1,1}(X) \cap H^2(X,\mathbb Z)\neq 0$ implies $\mathcal K_X \cap H^2(X,\mathbb Z) \neq \emptyset$?

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