List questions from algebraic-curves

Published on 20 Dec 2018 - 15:18

445

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Base point free for $g^1_2$ for hyperelliptic curve

Published on 25 Mar 2026 - 7:49

19

Views

Space of nonsingular cubics

Published on 23 Dec 2018 - 21:39

204

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Connected Smooth Projective curve $C$ is rational if unirational

Published on 25 Mar 2026 - 1:16

421

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In proving an irreducible curve has only finitely many singular points, is $f_x \not \equiv 0$?

Published on 26 Mar 2026 - 9:18

96

Views

For a line $L$ and an algebraic curve $C$ of an irreducible polynomial, prove $C \cap L$ contains at most d points unless C = L.

Published on 26 Mar 2026 - 9:18

68

Views

Do algebraic curves exclude the whole space? Prove that the locus $y = \sin x$ in $\mathbb R^2$ doesn't lie on any algebraic curve in $\mathbb C^2$

Published on 30 Dec 2018 - 12:02

49

Views

Divisor of two relatively prime

Published on 03 Jan 2019 - 20:01

1k

Views

Pushforward of a line bundle along a finite morphism of curves

Published on 23 Feb 2026 - 15:09

70

Views

How to find the equation of an image under a central projection

Published on 25 Mar 2026 - 16:14

345

Views

Verify Hurwitz's formula for $\frac{z^3}{1-z^2}$

Published on 25 Mar 2026 - 19:05

181

Views

An affine transformation, and its effect on a curve and a polynomial.

Published on 25 Mar 2026 - 16:02

864

Views

Genus of a smooth projective curve

Published on 25 Mar 2026 - 19:03

107

Views

Existence of a line bundle of order 2

Published on 16 Jan 2019 - 21:21

66

Views

Interesection of two "homogenous lines"

Published on 21 Jan 2019 - 6:40

List Question

$p$-adic values of rational points on elliptic curves

Base point free for $g^1_2$ for hyperelliptic curve

Space of nonsingular cubics

Connected Smooth Projective curve $C$ is rational if unirational

In proving an irreducible curve has only finitely many singular points, is $f_x \not \equiv 0$?

For a line $L$ and an algebraic curve $C$ of an irreducible polynomial, prove $C \cap L$ contains at most d points unless C = L.

Do algebraic curves exclude the whole space? Prove that the locus $y = \sin x$ in $\mathbb R^2$ doesn't lie on any algebraic curve in $\mathbb C^2$

Divisor of two relatively prime

Pushforward of a line bundle along a finite morphism of curves

How to find the equation of an image under a central projection

Verify Hurwitz's formula for $\frac{z^3}{1-z^2}$

An affine transformation, and its effect on a curve and a polynomial.

Genus of a smooth projective curve

Existence of a line bundle of order 2

Interesection of two "homogenous lines"

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