List questions from complex-geometry

Published on 25 Mar 2026 - 1:17

141

Views

Germ at any point determines analytic function

Published on 25 Mar 2026 - 6:08

116

Views

Algebraic trick to map $|z|<2$

Published on 14 Aug 2018 - 7:55

557

Views

Why do the first Chern classes of these line bundles span the Dolbeault cohomology group $H^{1,1}(X;\mathbb{R})$?

Published on 25 Mar 2026 - 9:29

44

Views

Why is $g(JZ,JW)=-g(Z,W)$?

Published on 26 Mar 2026 - 16:26

329

Views

Why is Hermitian inner product in the form of $h=\sum h_{ij}z_i\otimes\bar{z_j}$?

Published on 16 Aug 2018 - 3:07

188

Views

From compatible Riemannian metric to Hermitian metric

Published on 16 Aug 2018 - 3:29

35

Views

Finding the number of points on unit circle satisfying a criteria.

Published on 16 Aug 2018 - 17:11

295

Views

Definition of $dz_i\otimes d\bar{z_j}(\frac{\partial}{\partial z_m},c\frac{\partial}{\partial z_n})$

Published on 16 Aug 2018 - 21:21

120

Views

Why the conditions $w(0)=0$ and $w(2)=\infty$ map the region $|z-1|<1$ onto the region $\Re w>0$?

Published on 17 Aug 2018 - 11:44

417

Views

Some questions about Hermitian metric on complex manifold

Published on 17 Aug 2018 - 15:39

717

Views

Double Cover Map of Hyperelliptic Curve is Unique

Published on 25 Mar 2026 - 12:54

111

Views

Variety isomorphic to Riemann sphere

Published on 25 Mar 2026 - 12:48

282

Views

A compact complex manifold admits an ample line bundle if and only if it is projective

Published on 25 Mar 2026 - 23:53

627

Views

Deligne's theorem on the Leray spectral sequence and weights

Published on 25 Mar 2026 - 11:58

List Question

Definition of blowing-up along a complex submanifold (Huybrechts)

Germ at any point determines analytic function

Algebraic trick to map $|z|<2$

Why do the first Chern classes of these line bundles span the Dolbeault cohomology group $H^{1,1}(X;\mathbb{R})$?

Why is $g(JZ,JW)=-g(Z,W)$?

Why is Hermitian inner product in the form of $h=\sum h_{ij}z_i\otimes\bar{z_j}$?

From compatible Riemannian metric to Hermitian metric

Finding the number of points on unit circle satisfying a criteria.

Definition of $dz_i\otimes d\bar{z_j}(\frac{\partial}{\partial z_m},c\frac{\partial}{\partial z_n})$

Why the conditions $w(0)=0$ and $w(2)=\infty$ map the region $|z-1|<1$ onto the region $\Re w>0$?

Some questions about Hermitian metric on complex manifold

Double Cover Map of Hyperelliptic Curve is Unique

Variety isomorphic to Riemann sphere

A compact complex manifold admits an ample line bundle if and only if it is projective

Deligne's theorem on the Leray spectral sequence and weights

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