List questions from riemann-surfaces

Published on 25 Jul 2016 - 17:03

238

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Equivalence of topological and complex analytic definitions of degree of a line bundle.

Published on 31 Jul 2016 - 22:57

550

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Let $X$ be a plane curve over $\mathbb{C}$ defined by an irreducible polynomial $f\in\mathbb{C}[z,w]$. Then $X$ is connected in $\mathbb{C}^2$.

Published on 04 Aug 2016 - 19:21

1.6k

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How can I construct genus 2 curves

Published on 12 Aug 2016 - 19:49

257

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Complement of compact subset in Riemann surface

Published on 13 Aug 2016 - 13:01

328

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Riemann surface for Gaussian integral $\int \exp(z^2)dz$

Published on 18 Aug 2016 - 20:42

79

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Why don't point with valency $v_f(p) > 1$ accumulate?

Published on 24 Aug 2016 - 2:44

94

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Is my understanding of complex differentials correct?

Published on 24 Aug 2016 - 4:30

928

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Is a quadratic differential literally a square of a differential?

Published on 24 Aug 2016 - 21:16

792

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Closed 1-form on a Riemann surface

Published on 27 Aug 2016 - 16:52

174

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Do Quartic Curves give Genus 2 surfaces when mapped in the complex plane?

Published on 27 Aug 2016 - 18:56

167

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A question regarding the definition of $L(D)$ in the Riemann Roch theorem

Published on 25 Mar 2026 - 23:38

865

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Basis of cohomology of curve

Published on 28 Aug 2016 - 10:29

1.7k

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On the definition of a meromorphic differential on a Riemann surface

Published on 31 Aug 2016 - 17:46

95

Views

Orders of sections of line bundles.

Published on 25 Mar 2026 - 19:05

List Question

Integral of $\omega\wedge\overline{\omega}$ on Riemann surface

Equivalence of topological and complex analytic definitions of degree of a line bundle.

Let $X$ be a plane curve over $\mathbb{C}$ defined by an irreducible polynomial $f\in\mathbb{C}[z,w]$. Then $X$ is connected in $\mathbb{C}^2$.

How can I construct genus 2 curves

Complement of compact subset in Riemann surface

Riemann surface for Gaussian integral $\int \exp(z^2)dz$

Why don't point with valency $v_f(p) > 1$ accumulate?

Is my understanding of complex differentials correct?

Is a quadratic differential literally a square of a differential?

Closed 1-form on a Riemann surface

Do Quartic Curves give Genus 2 surfaces when mapped in the complex plane?

A question regarding the definition of $L(D)$ in the Riemann Roch theorem

Basis of cohomology of curve

On the definition of a meromorphic differential on a Riemann surface

Orders of sections of line bundles.

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