List questions from affine-schemes

Published on 27 Mar 2026 - 23:40

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separation property for schemes

Published on 21 Aug 2022 - 14:40

209

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Maximal spectrum as affine scheme

Published on 23 Aug 2022 - 17:12

149

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Algebraic characterisation of geometrically integral affine schemes of finite type over a field

Published on 28 Mar 2026 - 1:26

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Open subfunctors of Affine scheme is not affine

Published on 18 Sep 2022 - 4:37

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Scheme satisfying certain condition is affine. Exercise 3.5 Qing Liu

Published on 26 Sep 2022 - 21:31

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Why is $V(xy)$ the (geometrically correct) union of the two axis (as a scheme)?

Published on 25 Mar 2026 - 11:14

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Examples of non-constant polynomials $f(x)^3+g(x)^2=c$ for some non-zero constant $c$

Published on 04 Oct 2022 - 10:53

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Is every distinguished open of tensor product of rings covered by tensor product of distinguished open?

Published on 05 Oct 2022 - 3:59

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Examples of coprime polynomials $f(x)^3+g(x)^2=h(x)$ with $6\deg h<\deg g$

Published on 09 Oct 2022 - 6:18

156

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Proof that a scheme is integral iff it is reduced and irreducible.

Published on 11 Oct 2022 - 2:06

147

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Ideal-vanishing locus correspondence in affine schemes as natural transformations

Published on 26 Mar 2026 - 4:31

48

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Value of a function on the structure sheaf in $\mathbb{A}_k^2$

Published on 10 Nov 2022 - 12:23

257

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The only point of $\operatorname{Spec} (k[x,y] /(y^2,xy))$ with nonreduced stalk is the origin

Published on 13 Nov 2022 - 9:05

91

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Morphisms from laurent series to Projective space

Published on 13 Nov 2022 - 18:37

List Question

Restriction of rational functions to closed subvarieties

separation property for schemes

Maximal spectrum as affine scheme

Algebraic characterisation of geometrically integral affine schemes of finite type over a field

Open subfunctors of Affine scheme is not affine

Scheme satisfying certain condition is affine. Exercise 3.5 Qing Liu

Why is $V(xy)$ the (geometrically correct) union of the two axis (as a scheme)?

Examples of non-constant polynomials $f(x)^3+g(x)^2=c$ for some non-zero constant $c$

Is every distinguished open of tensor product of rings covered by tensor product of distinguished open?

Examples of coprime polynomials $f(x)^3+g(x)^2=h(x)$ with $6\deg h<\deg g$

Proof that a scheme is integral iff it is reduced and irreducible.

Ideal-vanishing locus correspondence in affine schemes as natural transformations

Value of a function on the structure sheaf in $\mathbb{A}_k^2$

The only point of $\operatorname{Spec} (k[x,y] /(y^2,xy))$ with nonreduced stalk is the origin

Morphisms from laurent series to Projective space

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