List questions from affine-schemes

Published on 30 Sep 2021 - 1:42

80

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Is quotient of group scheme is again group scheme?

Published on 12 Oct 2021 - 8:51

501

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Example of scheme which is not an affine scheme

Published on 20 Oct 2021 - 5:04

79

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If $f:\operatorname{Spec} A\to\operatorname{Spec} B$ is a map of schemes, how can I show $V(\varphi^{-1}(I)) = \overline{f(V(I))}$ for $I\subset B$?

Published on 27 Mar 2026 - 4:58

65

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When is the closed subscheme of $\Bbb P^n_{\Bbb C}$ cut out by a homogeneous polynomial $f$ integral?

Published on 30 Oct 2021 - 11:31

230

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Is the "vanishing locus" of a section of a quasi-coherent sheaf closed?

Published on 08 Nov 2021 - 16:18

728

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Prove that if a ring homomorphism is surjective, the associated spectral map is injective

Published on 14 Nov 2021 - 6:39

239

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What schemes correspond to varieties in the sense of Weil?

Published on 27 Mar 2026 - 20:25

114

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Is a blowing up always surjective?

Published on 02 Dec 2021 - 16:11

500

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Picard Group of the spectrum of a Noetherian UFD.

Published on 06 Dec 2021 - 0:14

128

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Generic zeros of a polynomial according to Lang's IGA

Published on 16 Dec 2021 - 16:14

66

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Computing residue fields of affine schemes

Published on 16 Dec 2021 - 17:26

63

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Show that $Z_{red}=(Z,\mathcal{O}_{Z_{red}})$ is a scheme and it satisfies the universal property

Published on 09 Jan 2022 - 17:34

120

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Is there a field k such that $Spec(k)\times \mathbb P^1$ is affine?

Published on 31 Jan 2022 - 20:24

170

Views

Question about a proof that all étale morphisms are locally standard étale

Published on 27 Mar 2026 - 17:23

List Question

On closed points in quasi-compact schemes

Is quotient of group scheme is again group scheme?

Example of scheme which is not an affine scheme

If $f:\operatorname{Spec} A\to\operatorname{Spec} B$ is a map of schemes, how can I show $V(\varphi^{-1}(I)) = \overline{f(V(I))}$ for $I\subset B$?

When is the closed subscheme of $\Bbb P^n_{\Bbb C}$ cut out by a homogeneous polynomial $f$ integral?

Is the "vanishing locus" of a section of a quasi-coherent sheaf closed?

Prove that if a ring homomorphism is surjective, the associated spectral map is injective

What schemes correspond to varieties in the sense of Weil?

Is a blowing up always surjective?

Picard Group of the spectrum of a Noetherian UFD.

Generic zeros of a polynomial according to Lang's IGA

Computing residue fields of affine schemes

Show that $Z_{red}=(Z,\mathcal{O}_{Z_{red}})$ is a scheme and it satisfies the universal property

Is there a field k such that $Spec(k)\times \mathbb P^1$ is affine?

Question about a proof that all étale morphisms are locally standard étale

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