List questions from complex-geometry

Published on 25 Mar 2026 - 5:06

93

Views

Regarding wells' p.156 conjugate liner 1-form

Published on 31 Jul 2018 - 2:44

67

Views

algebra-geometric correpondence for real or complex manifolds

Published on 01 Aug 2018 - 3:59

84

Views

Kahler Form Under a Rational Map

Published on 02 Aug 2018 - 10:19

638

Views

First Chern class for smooth line bundle

Published on 25 Mar 2026 - 6:09

180

Views

What is the complexification of the $n$-sphere $S^n$?

Published on 05 Aug 2018 - 19:09

62

Views

Why is $\epsilon^{p,q}(X):=\Gamma(X,\bigwedge^p\Omega^1_X\otimes\overline{\bigwedge^p\Omega^1_X})$?

Published on 25 Mar 2026 - 5:10

1k

Views

How to show $CP^1\times CP^1$ and $CP^2$ blow up one point are not diffeomorphic?

Published on 25 Mar 2026 - 1:20

463

Views

Hodge star operator $\bar{*}$ and volume form

Published on 08 Aug 2018 - 0:09

711

Views

Specific formula of Hodge star operator $\bar{*}$

Published on 08 Aug 2018 - 7:07

799

Views

Holomorphic line bundles over $\mathbb{CP}^n$ and the Hirzebruch surfaces

Published on 26 Mar 2026 - 1:34

197

Views

Is it true that every real manifold can be embedded into complex manifold?

Published on 08 Aug 2018 - 15:22

85

Views

Flow in the direction of a complex vector

Published on 25 Mar 2026 - 21:46

2.1k

Views

Example of nef and big, not ample

Published on 25 Mar 2026 - 2:59

590

Views

Does every almost complex manifold admit an almost-Kähler structure?

Published on 25 Mar 2026 - 11:26

List Question

Expressing $*(z_1\wedge \bar z_2)$ without Hodge star operator

Regarding wells' p.156 conjugate liner 1-form

algebra-geometric correpondence for real or complex manifolds

Kahler Form Under a Rational Map

First Chern class for smooth line bundle

What is the complexification of the $n$-sphere $S^n$?

Why is $\epsilon^{p,q}(X):=\Gamma(X,\bigwedge^p\Omega^1_X\otimes\overline{\bigwedge^p\Omega^1_X})$?

How to show $CP^1\times CP^1$ and $CP^2$ blow up one point are not diffeomorphic?

Hodge star operator $\bar{*}$ and volume form

Specific formula of Hodge star operator $\bar{*}$

Holomorphic line bundles over $\mathbb{CP}^n$ and the Hirzebruch surfaces

Is it true that every real manifold can be embedded into complex manifold?

Flow in the direction of a complex vector

Example of nef and big, not ample

Does every almost complex manifold admit an almost-Kähler structure?

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