Question

Compact Riemann surfaces as algebraic curves

score 49 · Answer 1 · 2024-03-23 20:42:24

49

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Compact Riemann surfaces as algebraic curves

Published on 23 Mar 2024 - 20:42

score 46 · Answer 2 · 2024-03-24 15:19:11

46

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Do surjective morphism exists between the Riemann surfaces $\Bbb P^1$ and $\Bbb C$ ? Can they be extended to a morphism $\Bbb P^1 \to \Bbb P^1$?

Published on 24 Mar 2024 - 15:19

score 41 · Answer 3 · 2026-03-26 23:10:49

41

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Metric choice in the tangent space of a Riemannian manifold obtained through the Log map

Published on 26 Mar 2026 - 23:10

score 24 · Answer 4 · 2026-03-26 17:11:55

24

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plot3d hyperelliptic singular curve

Published on 26 Mar 2026 - 17:11

score 101 · Answer 5 · 2024-03-30 00:15:13

101

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What is the meaning of the notation ${\cal O}_{\mathbb{CP}^n}(k)$?

Published on 30 Mar 2024 - 0:15

score 18 · Answer 6 · 2026-02-23 13:44:59

18

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Homology groups of genus $g$ Riemann surface with $n$ punctures.

Published on 23 Feb 2026 - 13:44

score 1.2k · Answer 7 · 2026-03-25 07:43:26

1.2k

Views

Is the Riemann sphere conformal equivalent to the 2-sphere?

Published on 25 Mar 2026 - 7:43

score 106 · Answer 8 · 2015-01-04 11:25:49

106

Views

An alternative description of an holomorphic map associated to a complete linear system

Published on 04 Jan 2015 - 11:25

score 377 · Answer 9 · 2015-01-05 17:51:46

377

Views

$\{(x,y)\in \mathbb C^2|y^2=\sin x\}$ as interior of compact Riemann Surface with Boundary

Published on 05 Jan 2015 - 17:51

score 182 · Answer 10 · 2015-01-09 17:01:14

182

Views

Putting a Riemann surface structure on a set of equivalence classes in a torus

Published on 09 Jan 2015 - 17:01

score 542 · Answer 11 · 2026-03-30 04:20:41

542

Views

constant-curvature Riemannian metric for Bring's surface

Published on 30 Mar 2026 - 4:20

score 484 · Answer 12 · 2015-01-14 22:40:09

484

Views

Fact check: global geometry / topology of moduli space of curves

Published on 14 Jan 2015 - 22:40

score 241 · Answer 13 · 2015-01-17 12:13:06

241

Views

Is this quotient of meromorphic functions of finite order?

Published on 17 Jan 2015 - 12:13

score 365 · Answer 14 · 2026-03-25 20:36:06

365

Views

Complex cohomology $\cong$ sheaf cohomology of constant sheaf on Riemann surface?

Published on 25 Mar 2026 - 20:36

score 716 · Answer 15 · 2015-01-21 14:19:47

716

Views

Exercise from Geometry of algebraic curves by Arbarello, Cornalba, Griffiths, Harris

Published on 21 Jan 2015 - 14:19

List Question

Compact Riemann surfaces as algebraic curves

Do surjective morphism exists between the Riemann surfaces $\Bbb P^1$ and $\Bbb C$ ? Can they be extended to a morphism $\Bbb P^1 \to \Bbb P^1$?

Metric choice in the tangent space of a Riemannian manifold obtained through the Log map

plot3d hyperelliptic singular curve

What is the meaning of the notation ${\cal O}_{\mathbb{CP}^n}(k)$?

Homology groups of genus $g$ Riemann surface with $n$ punctures.

Is the Riemann sphere conformal equivalent to the 2-sphere?

An alternative description of an holomorphic map associated to a complete linear system

$\{(x,y)\in \mathbb C^2|y^2=\sin x\}$ as interior of compact Riemann Surface with Boundary

Putting a Riemann surface structure on a set of equivalence classes in a torus

constant-curvature Riemannian metric for Bring's surface

Fact check: global geometry / topology of moduli space of curves

Is this quotient of meromorphic functions of finite order?

Complex cohomology $\cong$ sheaf cohomology of constant sheaf on Riemann surface?

Exercise from Geometry of algebraic curves by Arbarello, Cornalba, Griffiths, Harris

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