List questions from algebraic-curves

Published on 13 Apr 2026 - 18:56

446

Views

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

Published on 11 May 2026 - 0:27

22

Views

Space of nonsingular cubics

Published on 15 Apr 2026 - 4:32

207

Views

Connected Smooth Projective curve $C$ is rational if unirational

Published on 10 May 2026 - 14:55

423

Views

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

Published on 15 Apr 2026 - 8:25

98

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 15 Apr 2026 - 19:06

71

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 16 Apr 2026 - 13:39

52

Views

Divisor of two relatively prime

Published on 12 Apr 2026 - 20:03

1k

Views

Pushforward of a line bundle along a finite morphism of curves

Published on 04 May 2026 - 10:48

72

Views

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

Published on 11 May 2026 - 9:35

346

Views

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

Published on 15 Apr 2026 - 5:45

184

Views

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

Published on 11 May 2026 - 5:23

866

Views

Genus of a smooth projective curve

Published on 14 Apr 2026 - 4:55

110

Views

Existence of a line bundle of order 2

Published on 15 Apr 2026 - 5:58

69

Views

Interesection of two "homogenous lines"

Published on 11 Apr 2026 - 7:19

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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