List questions from algebraic-curves

Published on 15 Apr 2026 - 19:08

46

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Use of Vertical bar notation in Sec 2.8 of Reid's UG Algebraic curve book

Published on 13 Apr 2026 - 21:36

40

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Differentials on a hyper elliptic curve that are preserved by involution can be pulled back from $\mathbb{P}^1$ from $\pi$, hence must be 0.

Published on 17 Apr 2026 - 13:43

30

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Visualisation of the cubic curve $C: y^2 z − x^3 − x^2z − xz^2 − z^3$

Published on 17 Apr 2026 - 0:54

161

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Vector Bundles on a Curve as an Adelic Double Quotient

Published on 11 May 2026 - 6:39

73

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Two definitions of places on a curve

Published on 15 May 2026 - 3:49

34

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Linearly equivariant prime divisors on a curve

Published on 15 Apr 2026 - 12:48

61

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degree, genus, and birational map

Published on 14 May 2026 - 14:42

78

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Infinite Ramification Places of Finite Extension

Published on 16 Apr 2026 - 20:27

126

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Checking that a differential form is holomorphic on an algebraic curve and that it extends to a holomorphic form on its compactification

Published on 14 Apr 2026 - 5:34

126

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Exercise V.1.5. Hartshorne

Published on 16 Apr 2026 - 2:04

89

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Necessary and sufficient conditions for the existence of a bitangent

Published on 13 Apr 2026 - 3:49

53

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Descartes folium

Published on 12 Apr 2026 - 12:15

60

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Can a polynomial with even exponents be expressed as a multiple of $x^3+y^3-1$

Published on 15 Apr 2026 - 5:12

23

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Quotient curve of Fermat curve over a finite field (Ireland -Rosen exercise)

Published on 14 Apr 2026 - 19:56

List Question

Computation of Intersection points of an algebraic curve and a line

Use of Vertical bar notation in Sec 2.8 of Reid's UG Algebraic curve book

Differentials on a hyper elliptic curve that are preserved by involution can be pulled back from $\mathbb{P}^1$ from $\pi$, hence must be 0.

Visualisation of the cubic curve $C: y^2 z − x^3 − x^2z − xz^2 − z^3$

Vector Bundles on a Curve as an Adelic Double Quotient

Two definitions of places on a curve

Linearly equivariant prime divisors on a curve

degree, genus, and birational map

Infinite Ramification Places of Finite Extension

Checking that a differential form is holomorphic on an algebraic curve and that it extends to a holomorphic form on its compactification

Exercise V.1.5. Hartshorne

Necessary and sufficient conditions for the existence of a bitangent

Descartes folium

Can a polynomial with even exponents be expressed as a multiple of $x^3+y^3-1$

Quotient curve of Fermat curve over a finite field (Ireland -Rosen exercise)

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