List questions from algebraic-curves

Published on 25 Mar 2026 - 16:08

52

Views

Does $\deg_k F(-D)/F = \deg_k D$ hold for effective divisors $D$ and coherent, torsion-free $\mathcal{O}_X$-modules $F$?

Published on 25 Mar 2026 - 4:43

413

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Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

Published on 25 Mar 2026 - 4:43

58

Views

When is it the case that all closed immersions of all irreducible components are flat?

Published on 26 Mar 2026 - 11:01

62

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What is the relation between torsion elements of the class group and covering spaces of curves?

Published on 19 Mar 2026 - 23:27

65

Views

Smooth curves of odd genus

Published on 25 Mar 2026 - 16:08

42

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Why is this partial derivative zero? (Algebraic functions)

Published on 09 Dec 2018 - 18:37

88

Views

Example for intersection, multiplicity and tangents for projective plane curves

Published on 26 Mar 2026 - 9:39

77

Views

Plot projective curves

Published on 26 Mar 2026 - 9:45

451

Views

Is this plane curve irreducible?

Published on 25 Mar 2026 - 9:37

195

Views

When do two plane cubic curves have 9 real intersection?

Published on 25 Mar 2026 - 1:15

126

Views

Affine plane curves with constant curvature

Published on 25 Mar 2026 - 9:37

222

Views

Is there a substitution which transforms every Fermat curve into an elliptic curve?

Published on 25 Mar 2026 - 23:08

29

Views

Simple Curve Integral using Parametrization

Published on 18 Dec 2018 - 15:38

80

Views

Check injectivity of the map $\mathbb{P}^1_{\mathbb{K}} \rightarrow \mathbb{P}^2_{\mathbb{K}}$ defined by $(t_0:t_1)\mapsto(t_0^3:t_0t_1^2:t_1^3)$

Published on 19 Dec 2018 - 13:02

List Question

Number of branch points for a projection to $\Bbb{CP}^1$

Does $\deg_k F(-D)/F = \deg_k D$ hold for effective divisors $D$ and coherent, torsion-free $\mathcal{O}_X$-modules $F$?

Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

When is it the case that all closed immersions of all irreducible components are flat?

What is the relation between torsion elements of the class group and covering spaces of curves?

Smooth curves of odd genus

Why is this partial derivative zero? (Algebraic functions)

Example for intersection, multiplicity and tangents for projective plane curves

Plot projective curves

Is this plane curve irreducible?

When do two plane cubic curves have 9 real intersection?

Affine plane curves with constant curvature

Is there a substitution which transforms every Fermat curve into an elliptic curve?

Simple Curve Integral using Parametrization

Check injectivity of the map $\mathbb{P}^1_{\mathbb{K}} \rightarrow \mathbb{P}^2_{\mathbb{K}}$ defined by $(t_0:t_1)\mapsto(t_0^3:t_0t_1^2:t_1^3)$

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