List questions from projective-schemes

Published on 18 Apr 2015 - 12:30

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Normal projective varieties and its coordinate ring

Published on 08 May 2015 - 21:32

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$\operatorname{Proj}k[x,y,z]/(xz,yz,z^2)$ isomorphic to $\mathbb{P}^{1}_{k}$

Published on 16 May 2015 - 13:01

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I need help in this proof of this exercise from Fulton's book

Published on 23 May 2015 - 4:18

126

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On projection $\mathbb{P}_A^n \rightarrow \mathbb{P}_A^{n-1}$

Published on 18 Jun 2015 - 22:11

173

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Projective variety defined by a non-radical ideal.

Published on 08 Jul 2015 - 17:07

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Exercise 6.5.F in Ravi Vakil's notes: Showing conic $x^2 + y^2=z^2$ in $\mathbb{P}_k^2$ is isomorphic to $\mathbb{P}_k^1$

Published on 31 Jul 2015 - 0:36

168

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map between projective schemes induced by rational points

Published on 13 Sep 2015 - 17:43

71

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Why is $ \mathrm{Spec} \ A [T_1 , \dots , T_n ] \to \mathrm{Proj} \ A [T_0 , \dots , T_n ] $ an embedding?

Published on 23 Oct 2015 - 18:49

362

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Very basic question on projective bundles: Why is the fiber a vector space?

Published on 15 Mar 2026 - 8:54

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twist and product of projective spaces

Published on 03 Dec 2015 - 17:35

97

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Are $ \mathbb{A}^n (k ) = k^n $ and $ \mathbb{P}^{n} (k) = \mathrm{Proj} \ k[X_0 , \dots , X_n ]$ irreducibles?

Published on 24 Mar 2026 - 15:22

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Construction of relative projective space via glueing

Published on 24 Dec 2015 - 0:11

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What is the "module of twisted global sections"?

Published on 22 Mar 2026 - 10:11

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Global sections of Proj

Published on 23 Mar 2026 - 23:31

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Linear Systems And invertible Sheaf

Normal projective varieties and its coordinate ring

$\operatorname{Proj}k[x,y,z]/(xz,yz,z^2)$ isomorphic to $\mathbb{P}^{1}_{k}$

I need help in this proof of this exercise from Fulton's book

On projection $\mathbb{P}_A^n \rightarrow \mathbb{P}_A^{n-1}$

Projective variety defined by a non-radical ideal.

Exercise 6.5.F in Ravi Vakil's notes: Showing conic $x^2 + y^2=z^2$ in $\mathbb{P}_k^2$ is isomorphic to $\mathbb{P}_k^1$

map between projective schemes induced by rational points

Why is $ \mathrm{Spec} \ A [T_1 , \dots , T_n ] \to \mathrm{Proj} \ A [T_0 , \dots , T_n ] $ an embedding?

Very basic question on projective bundles: Why is the fiber a vector space?

twist and product of projective spaces

Are $ \mathbb{A}^n (k ) = k^n $ and $ \mathbb{P}^{n} (k) = \mathrm{Proj} \ k[X_0 , \dots , X_n ]$ irreducibles?

Construction of relative projective space via glueing

What is the "module of twisted global sections"?

Global sections of Proj

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