List questions from riemann-surfaces

Published on 12 May 2018 - 6:02

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Need help to understand integration notation

Published on 12 May 2018 - 14:09

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Hyperelliptic Curves -Monodromy around $\infty$ is non-trivial if and only if deg$f$ is odd

Published on 13 May 2018 - 11:12

450

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Ask for the rational roots of $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4.$

Published on 13 May 2018 - 15:54

160

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Action of the Alternating Group on the Riemann Sphere

Published on 18 May 2018 - 15:35

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$\theta(z) = \sum_{n=-\infty}^{+\infty} e^{\frac{-n^2}{2}}e^{inz}$ How to show $\theta '(\frac{i}{2}) = \frac{-i}{2} \theta (\frac{i}{2})$?

Published on 20 Mar 2026 - 2:54

149

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How to calculate the Eisentein series $G_{4}(\tau)$ and $G_{6}(\tau)$

Published on 20 May 2018 - 11:53

131

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$H^1(X,\mathcal O_X)\neq 0$

Published on 25 Mar 2026 - 1:23

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How to construct the function on torus with two distinct simple poles?

Published on 24 Mar 2026 - 23:42

55

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Null integral over a curve for all holomorphic forms space.

Published on 26 May 2018 - 8:08

40

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For a holomorphic 1-form $f dz= (u+iv) dz$, multiplicity of $f$=winding number of loop $u,-v$

Published on 27 May 2018 - 9:44

543

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Nowhere zero holomorphic function with no logarithm

Published on 28 May 2018 - 5:51

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What is the genus of compact Riemann surface: $\Sigma =\{[X,Y,Z]\in \mathbb{C}P^2: Z^2=XY\}.$

Published on 28 May 2018 - 12:35

108

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Help to draw geodesic plane in Poincaré model

Published on 28 May 2018 - 15:29

356

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Explicit complete metric on $\mathbb{C}\backslash \{ 0,1\} $ with Gaussian curvature $K \leqslant - 1$.

Published on 30 May 2018 - 11:40

List Question

$\mathbb{R}$ -Linear independence of periods in Riemann surfaces.

Need help to understand integration notation

Hyperelliptic Curves -Monodromy around $\infty$ is non-trivial if and only if deg$f$ is odd

Ask for the rational roots of $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4.$

Action of the Alternating Group on the Riemann Sphere

$\theta(z) = \sum_{n=-\infty}^{+\infty} e^{\frac{-n^2}{2}}e^{inz}$ How to show $\theta '(\frac{i}{2}) = \frac{-i}{2} \theta (\frac{i}{2})$?

How to calculate the Eisentein series $G_{4}(\tau)$ and $G_{6}(\tau)$

$H^1(X,\mathcal O_X)\neq 0$

How to construct the function on torus with two distinct simple poles?

Null integral over a curve for all holomorphic forms space.

For a holomorphic 1-form $f dz= (u+iv) dz$, multiplicity of $f$=winding number of loop $u,-v$

Nowhere zero holomorphic function with no logarithm

What is the genus of compact Riemann surface: $\Sigma =\{[X,Y,Z]\in \mathbb{C}P^2: Z^2=XY\}.$

Help to draw geodesic plane in Poincaré model

Explicit complete metric on $\mathbb{C}\backslash \{ 0,1\} $ with Gaussian curvature $K \leqslant - 1$.

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