Question

Why is $z=\infty$ not a branch point of the Inverse Joukowski map

score 192 · Answer 1 · 2026-04-14 17:08:50

192

Views

Why is $z=\infty$ not a branch point of the Inverse Joukowski map

Published on 14 Apr 2026 - 17:08

score 302 · Answer 2 · 2026-04-14 18:40:47

302

Views

Non-constant holomorphic mapping $f:M_{1} \longrightarrow M_{2}$ between compact Riemann surface

Published on 14 Apr 2026 - 18:40

score 499 · Answer 3 · 2026-04-12 04:18:52

499

Views

Degree of Holomorphic Map between Complex Tori

Published on 12 Apr 2026 - 4:18

score 235 · Answer 4 · 2026-05-10 17:22:44

235

Views

Does every homeomorphism of a Riemann surface have an isotopic biholomorphism?

Published on 10 May 2026 - 17:22

score 178 · Answer 5 · 2026-04-14 04:14:07

178

Views

norm on the space of square integrable differential 1-forms

Published on 14 Apr 2026 - 4:14

score 1k · Answer 6 · 2026-04-15 00:50:06

1k

Views

Prove Riemann-Roch theorem for Riemann sphere and torus

Published on 15 Apr 2026 - 0:50

score 443 · Answer 7 · 2026-05-10 16:00:13

443

Views

Construct a meromorphic function on Riemann surface of genus $3$

Published on 10 May 2026 - 16:00

score 369 · Answer 8 · 2026-04-13 01:31:11

369

Views

Construct a meromorphic $1$-form on torus

Published on 13 Apr 2026 - 1:31

score 53 · Answer 9 · 2026-04-14 12:31:05

53

Views

$h(\partial \bar{D_r})$ is a convex curve iff $arg(z)+arg(h'(z))+\pi/2$ is an increasing function of $arg(z)$

Published on 14 Apr 2026 - 12:31

score 557 · Answer 10 · 2026-05-10 13:50:37

557

Views

1-dimensional Linear System of Divisors of Degree 2 is Complete

Published on 10 May 2026 - 13:50

score 104 · Answer 11 · 2026-04-16 11:47:26

104

Views

Faithful action of $\operatorname{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$ on dessins of genus $0$

Published on 16 Apr 2026 - 11:47

score 299 · Answer 12 · 2026-05-10 10:58:00

299

Views

Let $M$ is compact Riemann surface, if $\omega$ is a 2-form and $\int_{M} \omega =0$ then there exists a smooth function $f$ such that $\omega=d*df$

Published on 10 May 2026 - 10:58

score 46 · Answer 13 · 2026-04-15 04:15:03

46

Views

Show that $\mathbb{C}^{*}$ is a hyperbolic type

Published on 15 Apr 2026 - 4:15

score 6.6k · Answer 14 · 2026-05-05 08:24:28

6.6k

Views

Why is this discrete subgroup of $PSL(2,\mathbb{C})$ not Kleinian?

Published on 05 May 2026 - 8:24

score 74 · Answer 15 · 2026-04-17 04:00:47

74

Views

For $M$ compact Riemann surface, divisors $D_{1}$ and $D_{2}, D_{2}\geq 0$ show that $\dim L(D_{1}+D_{2})\leq \dim L(D_{1})+\deg D_{2}$

Published on 17 Apr 2026 - 4:00

List Question

Why is $z=\infty$ not a branch point of the Inverse Joukowski map

Non-constant holomorphic mapping $f:M_{1} \longrightarrow M_{2}$ between compact Riemann surface

Degree of Holomorphic Map between Complex Tori

Does every homeomorphism of a Riemann surface have an isotopic biholomorphism?

norm on the space of square integrable differential 1-forms

Prove Riemann-Roch theorem for Riemann sphere and torus

Construct a meromorphic function on Riemann surface of genus $3$

Construct a meromorphic $1$-form on torus

$h(\partial \bar{D_r})$ is a convex curve iff $arg(z)+arg(h'(z))+\pi/2$ is an increasing function of $arg(z)$

1-dimensional Linear System of Divisors of Degree 2 is Complete

Faithful action of $\operatorname{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$ on dessins of genus $0$

Let $M$ is compact Riemann surface, if $\omega$ is a 2-form and $\int_{M} \omega =0$ then there exists a smooth function $f$ such that $\omega=d*df$

Show that $\mathbb{C}^{*}$ is a hyperbolic type

Why is this discrete subgroup of $PSL(2,\mathbb{C})$ not Kleinian?

For $M$ compact Riemann surface, divisors $D_{1}$ and $D_{2}, D_{2}\geq 0$ show that $\dim L(D_{1}+D_{2})\leq \dim L(D_{1})+\deg D_{2}$

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