List questions from affine-schemes

Published on 25 Mar 2026 - 12:55

62

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Unicity in Hartshorne Corollary II.7.15

Published on 25 Mar 2026 - 17:40

113

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Proof Proposition 4.1 Hartshorne

Published on 24 Feb 2023 - 15:48

70

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$R[x]$-algebra structure that on $R[y]$ seen as quotient of $R[x,y]$

Published on 25 Mar 2026 - 19:09

70

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Similarities and Differences between Spec and Proj

Published on 10 Mar 2023 - 4:10

148

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Curves homeomorphic under Zariski topology

Published on 25 Mar 2026 - 21:48

35

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Smoothness of affine variety consisting of finitely many points

Published on 25 Mar 2026 - 19:10

64

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Intuitive reason for why $\operatorname{Spec}(k[x,y,z]/(x-yz))$ is smooth at $O$ while $\operatorname{Spec}(k[x,y,z]/(x^2-yz))$ isn't?

Published on 25 Mar 2026 - 7:45

78

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Problem $I-24$ from Eisenbud and Harris's The Geometry of Schemes

Published on 16 Apr 2023 - 19:03

49

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Description of $\operatorname{Spec}(A\times_C B)$ in terms of the spectra for $A,B,C$

Published on 23 Feb 2026 - 15:11

76

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Noetherian condition of Serre's theorem on affineness

Published on 02 May 2023 - 10:43

149

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$\mathbb{Z}$-scheme from $\mathbb{Q}$-scheme

Published on 06 May 2023 - 13:20

125

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Spectrum as functor

Published on 06 May 2023 - 21:41

85

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What ring's spectrum corresponds to the affine scheme that is the inverse image of a morphism between two affine schemes?

Published on 19 May 2023 - 10:34

55

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Is every affine variety an affine scheme?

Published on 26 Mar 2026 - 9:16

List Question

Unitary group modulo the Jacobson radical

Unicity in Hartshorne Corollary II.7.15

Proof Proposition 4.1 Hartshorne

$R[x]$-algebra structure that on $R[y]$ seen as quotient of $R[x,y]$

Similarities and Differences between Spec and Proj

Curves homeomorphic under Zariski topology

Smoothness of affine variety consisting of finitely many points

Intuitive reason for why $\operatorname{Spec}(k[x,y,z]/(x-yz))$ is smooth at $O$ while $\operatorname{Spec}(k[x,y,z]/(x^2-yz))$ isn't?

Problem $I-24$ from Eisenbud and Harris's The Geometry of Schemes

Description of $\operatorname{Spec}(A\times_C B)$ in terms of the spectra for $A,B,C$

Noetherian condition of Serre's theorem on affineness

$\mathbb{Z}$-scheme from $\mathbb{Q}$-scheme

Spectrum as functor

What ring's spectrum corresponds to the affine scheme that is the inverse image of a morphism between two affine schemes?

Is every affine variety an affine scheme?

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