Question

If some four of given five distinct points in projective plane are collinear , then there are more than one conic passing through the five points

score 348 · Answer 1 · 2026-05-05 14:04:26

348

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If some four of given five distinct points in projective plane are collinear , then there are more than one conic passing through the five points

Published on 05 May 2026 - 14:04

score 156 · Answer 2 · 2026-05-05 01:35:17

156

Views

Adjunction isomorphism in algebraic geometry

Published on 05 May 2026 - 1:35

score 159 · Answer 3 · 2026-05-05 07:08:50

159

Views

$P$ is a branching point of the elliptic curve $(E, P)$

Published on 05 May 2026 - 7:08

score 1.9k · Answer 4 · 2026-05-11 09:51:29

1.9k

Views

When are curves irreducible?

Published on 11 May 2026 - 9:51

score 119 · Answer 5 · 2026-05-10 15:09:13

119

Views

How do you derive an equation if you know the asymptotes?

Published on 10 May 2026 - 15:09

score 153 · Answer 6 · 2026-05-10 15:09:06

153

Views

Find all asymptotes of given curve

Published on 10 May 2026 - 15:09

score 265 · Answer 7 · 2026-05-10 12:16:14

265

Views

Birational equivalence of two curves on the projective plane

Published on 10 May 2026 - 12:16

score 287 · Answer 8 · 2026-05-11 10:11:55

287

Views

Showing that a nonhyperelliptic curve of genus 4 lies on a quadric in $\mathbb{P}^3$

Published on 11 May 2026 - 10:11

score 1.4k · Answer 9 · 2026-05-01 03:34:15

1.4k

Views

Proper curves over some field are projective

Published on 01 May 2026 - 3:34

score 376 · Answer 10 · 2026-05-11 04:35:59

376

Views

Prove that $k[X]\simeq k$ using Noether's fundamental theorem (exercise $5.30$ from W. Fulton)

Published on 11 May 2026 - 4:35

score 156 · Answer 11 · 2026-05-11 22:16:33

156

Views

On a cyclic cover of genus 5 of a curve of genus 1

Published on 11 May 2026 - 22:16

score 232 · Answer 12 · 2026-04-29 12:56:04

232

Views

Why does a mapping of curves have degree equal to size of kernel?

Published on 29 Apr 2026 - 12:56

score 163 · Answer 13 · 2026-05-11 22:00:55

163

Views

Book of support for reading the Fulton book.

Published on 11 May 2026 - 22:00

score 574 · Answer 14 · 2026-04-14 00:12:48

574

Views

Embedding a curve in projective space

Published on 14 Apr 2026 - 0:12

score 130 · Answer 15 · 2026-05-10 20:47:32

130

Views

Let $F(X,Y,Z)=5X^2+3Y^2+8Z^2+6(YZ+ZX+XY)$. Find $(a,b,c) \in \mathbb{Z}^3$ not all divisible by $13$, such that $F(a,b,c)\equiv 0 \pmod{13^2}$.

Published on 10 May 2026 - 20:47

List Question

If some four of given five distinct points in projective plane are collinear , then there are more than one conic passing through the five points

Adjunction isomorphism in algebraic geometry

$P$ is a branching point of the elliptic curve $(E, P)$

When are curves irreducible?

How do you derive an equation if you know the asymptotes?

Find all asymptotes of given curve

Birational equivalence of two curves on the projective plane

Showing that a nonhyperelliptic curve of genus 4 lies on a quadric in $\mathbb{P}^3$

Proper curves over some field are projective

Prove that $k[X]\simeq k$ using Noether's fundamental theorem (exercise $5.30$ from W. Fulton)

On a cyclic cover of genus 5 of a curve of genus 1

Why does a mapping of curves have degree equal to size of kernel?

Book of support for reading the Fulton book.

Embedding a curve in projective space

Let $F(X,Y,Z)=5X^2+3Y^2+8Z^2+6(YZ+ZX+XY)$. Find $(a,b,c) \in \mathbb{Z}^3$ not all divisible by $13$, such that $F(a,b,c)\equiv 0 \pmod{13^2}$.

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