List questions from algebraic-curves

Published on 14 Apr 2026 - 5:57

92

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Directional derivative expression

Published on 21 Apr 2026 - 20:08

227

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How to prove $\mathcal O_P(C)$ is a DVR for $P$ non-singular?

Published on 14 Apr 2026 - 2:05

435

Views

Relationship between twisting sheaves and divisor sheaves

Published on 14 Apr 2026 - 3:54

482

Views

How to calculate the intersection points of the same implicit curve in parametric form?

Published on 06 May 2026 - 8:40

152

Views

If $\mathcal O_P(C)$ is a DVR, then $P$ is non-singular

Published on 16 Apr 2026 - 7:28

102

Views

Intersection counting without Bézout

Published on 07 Apr 2026 - 18:44

337

Views

"Necessary" condition for Power Diophantine Equation.

Published on 12 Apr 2026 - 11:21

1.2k

Views

Isomorphic function fields of projective curves, bijection of points.

Published on 13 Apr 2026 - 12:19

36

Views

Result showing that a certain valuation ring in some function field has to be a DVR?

Published on 14 Apr 2026 - 23:54

279

Views

Kähler differentials, define valuation?

Published on 16 Apr 2026 - 17:57

1.4k

Views

Intuitive/geometric way of thinking about effective divisors?

Published on 09 Apr 2026 - 5:07

96

Views

Finding equations for projective curves, low genus, Riemann-Roch.

Published on 15 Apr 2026 - 18:05

389

Views

Automorphisms of non-hyperelliptic curve of genus 3 in $\mathbb{P}^{2}$

Published on 15 Apr 2026 - 19:54

47

Views

$div(z)=0\Leftrightarrow z\in k$

Published on 12 Apr 2026 - 9:48

List Question

Nonsingular curve $C$ of degree 4, exists rational function $f: C \to \mathbb{CP}^1$ of degree 2?

Directional derivative expression

How to prove $\mathcal O_P(C)$ is a DVR for $P$ non-singular?

Relationship between twisting sheaves and divisor sheaves

How to calculate the intersection points of the same implicit curve in parametric form?

If $\mathcal O_P(C)$ is a DVR, then $P$ is non-singular

Intersection counting without Bézout

"Necessary" condition for Power Diophantine Equation.

Isomorphic function fields of projective curves, bijection of points.

Result showing that a certain valuation ring in some function field has to be a DVR?

Kähler differentials, define valuation?

Intuitive/geometric way of thinking about effective divisors?

Finding equations for projective curves, low genus, Riemann-Roch.

Automorphisms of non-hyperelliptic curve of genus 3 in $\mathbb{P}^{2}$

$div(z)=0\Leftrightarrow z\in k$

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