Question

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

score 592 · Answer 1 · 2018-04-28 11:26:13

592

Views

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

Published on 28 Apr 2018 - 11:26

score 83 · Answer 2 · 2018-04-28 22:15:41

83

Views

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

Published on 28 Apr 2018 - 22:15

score 354 · Answer 3 · 2018-04-29 10:56:45

354

Views

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

Published on 29 Apr 2018 - 10:56

score 243 · Answer 4 · 2018-05-01 10:34:48

243

Views

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

Published on 01 May 2018 - 10:34

score 73 · Answer 5 · 2018-05-02 11:12:28

73

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 02 May 2018 - 11:12

score 54 · Answer 6 · 2018-05-03 01:01:24

54

Views

What is a faithful representation of a Riemann surface?

Published on 03 May 2018 - 1:01

score 334 · Answer 7 · 2018-05-03 16:00:44

334

Views

Existence of divisor which linear system is base point free

Published on 03 May 2018 - 16:00

score 382 · Answer 8 · 2018-05-04 16:20:59

382

Views

Argument principle for Riemann surfaces

Published on 04 May 2018 - 16:20

score 62 · Answer 9 · 2018-05-06 11:32:29

62

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 06 May 2018 - 11:32

score 69 · Answer 10 · 2018-05-06 15:12:39

69

Views

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

Published on 06 May 2018 - 15:12

score 510 · Answer 11 · 2018-05-07 14:32:13

510

Views

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

Published on 07 May 2018 - 14:32

score 1.2k · Answer 12 · 2026-03-25 01:15:33

1.2k

Views

Parallel Transport along a sphere

Published on 25 Mar 2026 - 1:15

score 184 · Answer 13 · 2018-05-08 11:30:20

184

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 08 May 2018 - 11:30

score 1.8k · Answer 14 · 2026-03-22 18:12:02

1.8k

Views

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

Published on 22 Mar 2026 - 18:12

score 200 · Answer 15 · 2018-05-09 14:02:05

200

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 09 May 2018 - 14:02

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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