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 340 · Answer 1 · 2026-03-24 09:26:47

340

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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 24 Mar 2026 - 9:26

score 147 · Answer 2 · 2026-03-17 11:34:43

147

Views

Adjunction isomorphism in algebraic geometry

Published on 17 Mar 2026 - 11:34

score 152 · Answer 3 · 2026-03-25 16:14:51

152

Views

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

Published on 25 Mar 2026 - 16:14

score 1.9k · Answer 4 · 2026-03-16 23:42:19

1.9k

Views

When are curves irreducible?

Published on 16 Mar 2026 - 23:42

score 115 · Answer 5 · 2026-03-25 01:27:14

115

Views

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

Published on 25 Mar 2026 - 1:27

score 148 · Answer 6 · 2026-03-25 01:27:01

148

Views

Find all asymptotes of given curve

Published on 25 Mar 2026 - 1:27

score 262 · Answer 7 · 2026-03-26 05:56:00

262

Views

Birational equivalence of two curves on the projective plane

Published on 26 Mar 2026 - 5:56

score 280 · Answer 8 · 2018-01-30 07:58:29

280

Views

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

Published on 30 Jan 2018 - 7:58

score 1.3k · Answer 9 · 2026-03-20 03:41:23

1.3k

Views

Proper curves over some field are projective

Published on 20 Mar 2026 - 3:41

score 372 · Answer 10 · 2026-03-25 18:48:12

372

Views

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

Published on 25 Mar 2026 - 18:48

score 150 · Answer 11 · 2026-03-20 05:49:15

150

Views

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

Published on 20 Mar 2026 - 5:49

score 227 · Answer 12 · 2018-02-13 04:01:10

227

Views

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

Published on 13 Feb 2018 - 4:01

score 153 · Answer 13 · 2026-03-23 09:17:49

153

Views

Book of support for reading the Fulton book.

Published on 23 Mar 2026 - 9:17

score 570 · Answer 14 · 2026-03-17 01:32:14

570

Views

Embedding a curve in projective space

Published on 17 Mar 2026 - 1:32

score 122 · Answer 15 · 2026-03-17 00:54:43

122

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 17 Mar 2026 - 0:54

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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