List questions from algebraic-curves

Published on 28 Mar 2026 - 14:05

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Projective cubic curve passing 9 points

Published on 02 Nov 2016 - 3:43

369

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Irreducible curve

Published on 02 Nov 2016 - 17:02

283

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Missing finitely many points by rational curve with parametrization by rational functions and rational curve self intersection

Published on 26 Mar 2026 - 4:31

464

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Locus of tangent lines to a smooth curve of degree $d$ and genus $g$

Published on 25 Mar 2026 - 4:43

85

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$R_d$ be space of polynomials in $k[x,y]$ of degree $\le d$ , $W_d=R_{d-n_1}f_1+R_{d-n_2}f_2$ ; is $R_d \cap (f_1,f_2) = W_d$ under conditions?

Published on 05 Nov 2016 - 12:51

657

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Cubic projective curves without rational points

Published on 06 Nov 2016 - 20:37

2k

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Parametrization of the intersection between a sphere and a plane

Published on 07 Nov 2016 - 21:54

381

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Katz-Mazur chapter 1 AG questions

Published on 26 Mar 2026 - 1:07

1.4k

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Why is a genus 1 curve smooth and is it still true for a non-zero genus one in general?

Published on 10 Nov 2016 - 9:04

321

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Curves which are not universally closed are affine (Hartshorne IV.1.3)

Published on 13 Nov 2016 - 18:50

1.2k

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Genus of a Curve - Riemann-Roch

Published on 25 Mar 2026 - 23:37

215

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Proving the Castelnuovo bound is achieved for a curve in $\mathbb{P}^n$

Published on 28 Mar 2026 - 20:22

43

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When the coefficients can be rational?

Published on 25 Mar 2026 - 20:34

856

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Group law on cubics

Published on 27 Mar 2026 - 10:08

List Question

Rational normal curve degree 4 counting degree of quadratic intersections.

Projective cubic curve passing 9 points

Irreducible curve

Missing finitely many points by rational curve with parametrization by rational functions and rational curve self intersection

Locus of tangent lines to a smooth curve of degree $d$ and genus $g$

$R_d$ be space of polynomials in $k[x,y]$ of degree $\le d$ , $W_d=R_{d-n_1}f_1+R_{d-n_2}f_2$ ; is $R_d \cap (f_1,f_2) = W_d$ under conditions?

Cubic projective curves without rational points

Parametrization of the intersection between a sphere and a plane

Katz-Mazur chapter 1 AG questions

Why is a genus 1 curve smooth and is it still true for a non-zero genus one in general?

Curves which are not universally closed are affine (Hartshorne IV.1.3)

Genus of a Curve - Riemann-Roch

Proving the Castelnuovo bound is achieved for a curve in $\mathbb{P}^n$

When the coefficients can be rational?

Group law on cubics

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