List questions from zariski-topology

Published on 27 May 2021 - 18:21

128

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Criterium for the representability of a functor

Published on 26 Mar 2026 - 4:32

601

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Continuity of Rational Maps in Zariski Topology

Published on 15 Jun 2021 - 4:53

617

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About the Zariski topology on the spectrum of localization

Published on 12 Sep 2021 - 19:17

137

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Representability of relative spectrum of a quasi-coherent sheaf of algebras

Published on 26 Mar 2026 - 4:35

50

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The topological closure $\overline{X}$ of a subset $X \subset \mathbb{A}_k^n$ is equal to the set $Z(I(\overline{X}))$

Published on 08 Oct 2021 - 1:40

52

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Properties of this set $Z_f = \{(b_1, \dots, b_n) \in \mathbb{A}_k^n : f(x_1, \dots, x_m, b_1, \dots, b_n) \in I(V)\}$

Published on 08 Oct 2021 - 15:34

230

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How can it be shown that D (Zariski closed subset) is irreducible?

Published on 13 Oct 2021 - 23:21

56

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Closure of $M=\left\{\frac{1}{n}\::\:n\in \mathbb{N}\right\}$ in $\Bbb A^1$

Published on 15 Oct 2021 - 14:09

281

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Maximal spectrum of a ring is quasi-compact in Zariski topology

Published on 24 Oct 2021 - 15:42

78

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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 26 Oct 2021 - 10:49

228

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How to compute the dimension of $V(f,g)$ in $\mathbb Z[x_1,...,x_n]$

Published on 25 Mar 2026 - 22:05

45

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Zariski closure of the boundary of the first quadrant

Published on 05 Nov 2021 - 10:13

243

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Closure of singleton point in Zariski topology

Published on 09 Nov 2021 - 19:08

52

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Basic question about Zariski tangent space

Published on 13 Jan 2022 - 10:00

List Question

Zariski topology

Criterium for the representability of a functor

Continuity of Rational Maps in Zariski Topology

About the Zariski topology on the spectrum of localization

Representability of relative spectrum of a quasi-coherent sheaf of algebras

The topological closure $\overline{X}$ of a subset $X \subset \mathbb{A}_k^n$ is equal to the set $Z(I(\overline{X}))$

Properties of this set $Z_f = \{(b_1, \dots, b_n) \in \mathbb{A}_k^n : f(x_1, \dots, x_m, b_1, \dots, b_n) \in I(V)\}$

How can it be shown that D (Zariski closed subset) is irreducible?

Closure of $M=\left\{\frac{1}{n}\::\:n\in \mathbb{N}\right\}$ in $\Bbb A^1$

Maximal spectrum of a ring is quasi-compact in Zariski topology

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 $I\subset B$?

How to compute the dimension of $V(f,g)$ in $\mathbb Z[x_1,...,x_n]$

Zariski closure of the boundary of the first quadrant

Closure of singleton point in Zariski topology

Basic question about Zariski tangent space

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