List questions from affine-varieties

Published on 11 Apr 2026 - 16:24

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Is regular birational image of affine subset affine?

Published on 11 Apr 2026 - 14:45

150

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Computing the structure sheaf $\mathcal{O}_X(U)$ for $U=X\setminus \mathbb{V}(x_0^2+x_1^2+x_2^2)$ and $X=\mathbb{P}^2$.

Published on 10 May 2026 - 16:04

68

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Find a set of polynomials whose common zero set is $\{(1, 2), (0, 5)\}$.

Published on 17 Apr 2026 - 7:52

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Prove that if k is a field, then any affine open subset of the affine n-space A_n^k is principal.

Published on 16 Apr 2026 - 9:05

728

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Tangent lines throught a point in an algebraic curve

Published on 16 Apr 2026 - 15:57

390

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Sheaf of a Closed Subset

Published on 12 Apr 2026 - 9:17

170

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Definition of Morphism between varieties

Published on 12 Apr 2026 - 10:15

322

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Quotient of Algebraic Variety

Published on 14 Apr 2026 - 12:23

309

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The complement of a point in $\Bbb{A}^n$ is compact in the Zariski topology.

Published on 15 Apr 2026 - 11:39

93

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Let J be an ideal. Find a function in I(V(J)) such that the function f is not in J

Published on 13 Apr 2026 - 8:28

327

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Question about topology on the product of affine spaces (question related to variety being complete)

Published on 10 May 2026 - 20:44

67

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How does $g \notin \mathfrak p \implies$ $g$ is nowhere vanishing on $V$?

Published on 15 Apr 2026 - 9:45

237

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Stalks, Germs and Localisation

Published on 05 May 2026 - 22:48

44

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Irreducible Subsets of Ringed Spaces

Published on 11 Apr 2026 - 15:29

List Question

Sheaf of Regular Functions and Localisation

Is regular birational image of affine subset affine?

Computing the structure sheaf $\mathcal{O}_X(U)$ for $U=X\setminus \mathbb{V}(x_0^2+x_1^2+x_2^2)$ and $X=\mathbb{P}^2$.

Find a set of polynomials whose common zero set is $\{(1, 2), (0, 5)\}$.

Prove that if k is a field, then any affine open subset of the affine n-space A_n^k is principal.

Tangent lines throught a point in an algebraic curve

Sheaf of a Closed Subset

Definition of Morphism between varieties

Quotient of Algebraic Variety

The complement of a point in $\Bbb{A}^n$ is compact in the Zariski topology.

Let J be an ideal. Find a function in I(V(J)) such that the function f is not in J

Question about topology on the product of affine spaces (question related to variety being complete)

How does $g \notin \mathfrak p \implies$ $g$ is nowhere vanishing on $V$?

Stalks, Germs and Localisation

Irreducible Subsets of Ringed Spaces

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