Question

We can always find a projective line $L\subset\mathbb{CP^2}$ intersecting degree $d$ projective curve at $d$ distinct points

score 596 · Answer 1 · 2026-05-10 19:47:12

596

Views

We can always find a projective line $L\subset\mathbb{CP^2}$ intersecting degree $d$ projective curve at $d$ distinct points

Published on 10 May 2026 - 19:47

score 86 · Answer 2 · 2026-04-11 11:21:28

86

Views

The space $\Omega^1(X)$ of hyperelliptic curve $X$.

Published on 11 Apr 2026 - 11:21

score 357 · Answer 3 · 2026-04-16 02:50:57

357

Views

Proving a nonconstant holomorphic map from $\mathbb{C}_\infty \to Y$ gives a homeomorphism

Published on 16 Apr 2026 - 2:50

score 247 · Answer 4 · 2026-05-10 15:37:46

247

Views

How to construct a certain covering of $\mathbb P^1_{\mathbb C}$ in a weighted projective space

Published on 10 May 2026 - 15:37

score 77 · Answer 5 · 2026-05-10 19:48:44

77

Views

If X is a noncompact Riemann surface and $\omega$ is a smooth 2-form then there exists $f$ such that $d'd''f = \omega$

Published on 10 May 2026 - 19:48

score 57 · Answer 6 · 2026-04-09 22:18:52

57

Views

What is a faithful representation of a Riemann surface?

Published on 09 Apr 2026 - 22:18

score 337 · Answer 7 · 2026-04-14 08:50:02

337

Views

Existence of divisor which linear system is base point free

Published on 14 Apr 2026 - 8:50

score 385 · Answer 8 · 2026-04-10 23:16:16

385

Views

Argument principle for Riemann surfaces

Published on 10 Apr 2026 - 23:16

score 66 · Answer 9 · 2026-05-10 17:50:48

66

Views

Is $\Sigma$ compact if the partial derivatives of elliptic curve $P(x,y,z)$ do not all vanish at any point of $\Sigma$?

Published on 10 May 2026 - 17:50

score 73 · Answer 10 · 2026-05-10 15:02:18

73

Views

Question about the relation between two different ways of definition the degree of map

Published on 10 May 2026 - 15:02

score 514 · Answer 11 · 2026-05-10 19:47:57

514

Views

Compact Riemann surface of genus 2 as the normalization of a quartic curve.

Published on 10 May 2026 - 19:47

score 1.2k · Answer 12 · 2026-05-10 16:53:22

1.2k

Views

Parallel Transport along a sphere

Published on 10 May 2026 - 16:53

score 187 · Answer 13 · 2026-04-14 17:00:24

187

Views

If $h$ is an arbitrary holomorphic function then there exist $\phi_1, \phi_2$ holomorphic such that $h = f\phi_1 + g\phi_2$

Published on 14 Apr 2026 - 17:00

score 1.8k · Answer 14 · 2026-05-10 16:12:17

1.8k

Views

How to interpret the space of quadratic differentials as a cotangent space?

Published on 10 May 2026 - 16:12

score 202 · Answer 15 · 2026-04-17 05:04:25

202

Views

If $f_1,...,f_k$ are given holomorphic functions and $f$ is such that $f_i/f$ is holomorphic then $g_1f_1 + \cdots + g_nf_n = gf$

Published on 17 Apr 2026 - 5:04

List Question

We can always find a projective line $L\subset\mathbb{CP^2}$ intersecting degree $d$ projective curve at $d$ distinct points

The space $\Omega^1(X)$ of hyperelliptic curve $X$.

Proving a nonconstant holomorphic map from $\mathbb{C}_\infty \to Y$ gives a homeomorphism

How to construct a certain covering of $\mathbb P^1_{\mathbb C}$ in a weighted projective space

If X is a noncompact Riemann surface and $\omega$ is a smooth 2-form then there exists $f$ such that $d'd''f = \omega$

What is a faithful representation of a Riemann surface?

Existence of divisor which linear system is base point free

Argument principle for Riemann surfaces

Is $\Sigma$ compact if the partial derivatives of elliptic curve $P(x,y,z)$ do not all vanish at any point of $\Sigma$?

Question about the relation between two different ways of definition the degree of map

Compact Riemann surface of genus 2 as the normalization of a quartic curve.

Parallel Transport along a sphere

If $h$ is an arbitrary holomorphic function then there exist $\phi_1, \phi_2$ holomorphic such that $h = f\phi_1 + g\phi_2$

How to interpret the space of quadratic differentials as a cotangent space?

If $f_1,...,f_k$ are given holomorphic functions and $f$ is such that $f_i/f$ is holomorphic then $g_1f_1 + \cdots + g_nf_n = gf$

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