List questions from algebraic-curves

Published on 16 Apr 2026 - 21:25

69

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Irreducibility of Lemniscates

Published on 13 Apr 2026 - 16:57

112

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Isomorphism and birrationality between projective varieties

Published on 11 May 2026 - 4:32

303

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Intersection between projective curves

Published on 14 May 2026 - 15:11

54

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Recursive formula for points of algebraic curves over finite fields

Published on 11 Apr 2026 - 23:17

102

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Cubic curves and their lattices

Published on 14 May 2026 - 15:03

63

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If $X$ is an irreducible variety in $\mathbb{C}^n$, then $\mathbb{C}^n \setminus X$ is path-connected.

Published on 13 Apr 2026 - 21:21

50

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The variety $X=V(x^2+y^2-1) \subseteq k^2$ is isomorphic to k if and only if $k$ has characteristic 2

Published on 16 Apr 2026 - 14:31

59

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Show that $V(4xy+8xz+4yz-3y^2) \equiv V(x^2+y^2-z^2)$.

Published on 16 Apr 2026 - 17:26

274

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Genus of compact Riemann surface $\{[x_0,x_1,x_2]\in\Bbb P^2\mid x_2^2x_0=\prod_{i=1}^3(x_1-\lambda_ix_0),\lambda_i\in\Bbb C\}$

Published on 17 Apr 2026 - 8:01

97

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Is the unit circle always an infinite set if the field is infinite?

Published on 13 Apr 2026 - 15:05

87

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Riemann Roch theorem for surfaces

Published on 10 May 2026 - 22:31

45

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What goes wrong in the proof that $Spec \mathbb{R}[x,y]/(x^2+y^2)$ is a principal divisor in $Proj \mathbb{R}[x,y,z]/(x^2+y^2+z^2)$

Published on 11 May 2026 - 1:53

267

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Picard group of curves

Published on 11 May 2026 - 4:36

277

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Proving that the Quotient of an Algebraic Curve $X/G$ is an Algebraic Curve.

Published on 17 Apr 2026 - 10:22

List Question

Uniformizer $x$ on a curve then $x - x(p)$ uniformizer at all but fin. many points $p$?

Irreducibility of Lemniscates

Isomorphism and birrationality between projective varieties

Intersection between projective curves

Recursive formula for points of algebraic curves over finite fields

Cubic curves and their lattices

If $X$ is an irreducible variety in $\mathbb{C}^n$, then $\mathbb{C}^n \setminus X$ is path-connected.

The variety $X=V(x^2+y^2-1) \subseteq k^2$ is isomorphic to k if and only if $k$ has characteristic 2

Show that $V(4xy+8xz+4yz-3y^2) \equiv V(x^2+y^2-z^2)$.

Genus of compact Riemann surface $\{[x_0,x_1,x_2]\in\Bbb P^2\mid x_2^2x_0=\prod_{i=1}^3(x_1-\lambda_ix_0),\lambda_i\in\Bbb C\}$

Is the unit circle always an infinite set if the field is infinite?

Riemann Roch theorem for surfaces

What goes wrong in the proof that $Spec \mathbb{R}[x,y]/(x^2+y^2)$ is a principal divisor in $Proj \mathbb{R}[x,y,z]/(x^2+y^2+z^2)$

Picard group of curves

Proving that the Quotient of an Algebraic Curve $X/G$ is an Algebraic Curve.

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