List questions from complex-geometry

Published on 26 May 2018 - 17:25

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Proof that automorphisms of unit disk are of the form $\lambda \dfrac{z-a}{\overline{a}z-1}$

Published on 25 Mar 2026 - 1:18

1.8k

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Is there a formula for how the Hodge star interacts with the wedge product?

Published on 27 May 2018 - 3:52

288

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$\Theta$ function in terms of Weierstraß $\sigma$ function?

Published on 20 Mar 2026 - 12:48

127

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Given $u,v$ holomorphic functions not vanishing at $0\in C^n$, then we can suppose $u,v$ both non-vanishing along $z_2=\dots=z_n=0$ axis.

Published on 25 Mar 2026 - 4:43

240

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Reference request: local normal form of a holomorphic map

Published on 25 Mar 2026 - 6:00

164

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Definition of the multiplicity of an analytic coherent sheaf

Published on 31 May 2018 - 5:39

96

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Pullback of divisor under the map $z\mapsto z^p$

Published on 22 Feb 2026 - 23:28

2k

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Reflection of a line $\bar az + a\bar z = 0$ in real axis?

Published on 01 Jun 2018 - 5:00

82

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Definition of 1.3.3 from Complex Geometry by David Huybrechts

Published on 01 Jun 2018 - 5:55

109

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Siu's arguments on Calabi-Yau theorem?

Published on 01 Jun 2018 - 10:49

129

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Log of multi-variable non-zero holomorphic function

Published on 25 Mar 2026 - 9:22

350

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Space of tamed almost complex structures

Published on 25 Mar 2026 - 14:19

218

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For genus $g$ Riemann surface, $\operatorname{H}^1(X)$ has complex dimension $2g$?

Published on 25 Mar 2026 - 7:48

96

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If $X$ is a Riemann surface, does $T_p^*X$ have complex dimension $1$ or $2$?

Published on 25 Mar 2026 - 7:42

List Question

$\mathbb{P}^1$ embedded in $\mathbb{P}^3$

Proof that automorphisms of unit disk are of the form $\lambda \dfrac{z-a}{\overline{a}z-1}$

Is there a formula for how the Hodge star interacts with the wedge product?

$\Theta$ function in terms of Weierstraß $\sigma$ function?

Given $u,v$ holomorphic functions not vanishing at $0\in C^n$, then we can suppose $u,v$ both non-vanishing along $z_2=\dots=z_n=0$ axis.

Reference request: local normal form of a holomorphic map

Definition of the multiplicity of an analytic coherent sheaf

Pullback of divisor under the map $z\mapsto z^p$

Reflection of a line $\bar az + a\bar z = 0$ in real axis?

Definition of 1.3.3 from Complex Geometry by David Huybrechts

Siu's arguments on Calabi-Yau theorem?

Log of multi-variable non-zero holomorphic function

Space of tamed almost complex structures

For genus $g$ Riemann surface, $\operatorname{H}^1(X)$ has complex dimension $2g$?

If $X$ is a Riemann surface, does $T_p^*X$ have complex dimension $1$ or $2$?

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