List questions from riemann-surfaces

Published on 29 Apr 2026 - 12:46

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Fuchsian group acts properly discontinuously, Orbit Space is a Riemann Surface

Published on 05 May 2026 - 6:19

164

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Green's function on Riemann surfaces of $\partial_{\bar z}$

Published on 10 May 2026 - 8:18

453

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$|f|^{\alpha}$ and $\log (1+|f|^{\alpha})$ are subharmonic if $f$ is holomorphic

Published on 10 May 2026 - 11:21

420

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Defining holomorphic functions on Riemann sphere

Published on 12 Apr 2026 - 12:12

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Dimension of space of meromorphic functions on torus with only one pole

Published on 05 May 2026 - 16:25

231

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Composition of subharmonic function and covering map is subharmonic

Published on 23 Apr 2026 - 7:18

197

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Prove a continous function is subharmonic on unit disk

Published on 11 Apr 2026 - 17:03

253

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Show that the boundary of simply connected subset is regular

Published on 16 Apr 2026 - 0:10

171

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From Donaldson's Riemann Surfaces- Existence of non-vanishing $C^\infty$ function $ f(t)= 1$ for small $t$, $f(t)=\frac{1}{t}$for large $t$

Published on 24 Mar 2026 - 20:33

89

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Why there always exists a fuchsian model $R$ satisfies the normalization condition?

Published on 15 Apr 2026 - 5:06

20

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Check whether a given map is a complex chart

Published on 15 Apr 2026 - 12:18

145

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Construct the biholomorphic function from a double connected domain onto an annulus

Published on 14 Apr 2026 - 9:49

560

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$\dim H^0(X, \mathcal{O}_D) \leq 1 + \deg D$ when $-1 \leq \deg D \leq g - 1$

Published on 29 Apr 2026 - 12:50

340

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Understanding the Rieman Surface of the Complex Logarithm

Published on 08 Apr 2026 - 21:26

List Question

Picard group of a Torus

Fuchsian group acts properly discontinuously, Orbit Space is a Riemann Surface

Green's function on Riemann surfaces of $\partial_{\bar z}$

$|f|^{\alpha}$ and $\log (1+|f|^{\alpha})$ are subharmonic if $f$ is holomorphic

Defining holomorphic functions on Riemann sphere

Dimension of space of meromorphic functions on torus with only one pole

Composition of subharmonic function and covering map is subharmonic

Prove a continous function is subharmonic on unit disk

Show that the boundary of simply connected subset is regular

From Donaldson's Riemann Surfaces- Existence of non-vanishing $C^\infty$ function $ f(t)= 1$ for small $t$, $f(t)=\frac{1}{t}$for large $t$

Why there always exists a fuchsian model $R$ satisfies the normalization condition?

Check whether a given map is a complex chart

Construct the biholomorphic function from a double connected domain onto an annulus

$\dim H^0(X, \mathcal{O}_D) \leq 1 + \deg D$ when $-1 \leq \deg D \leq g - 1$

Understanding the Rieman Surface of the Complex Logarithm

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