List questions from zariski-topology

Published on 23 Oct 2015 - 5:06

84

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When is the set of prime ideals that don't intersect a monoid zariski open?

Published on 12 Dec 2015 - 18:26

612

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Zariski topology questions from Atiyah and Macdonald's Introduction to Commutative Algebra

Published on 09 Mar 2026 - 12:21

1.2k

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Why closed points of a variety are Zariski dense?

Published on 17 Dec 2015 - 12:12

828

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Why do we take the closure of the support?

Published on 18 Dec 2015 - 11:15

1.1k

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The algebraic set $V$ is connected if and only if the coordinate ring $k[V]$ is not the direct sum of two nonzero ideals.

Published on 13 Mar 2026 - 20:56

977

Views

Zariski topology on $\mathbb{C}[X, Y]$

Published on 14 Jan 2016 - 10:20

323

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Zariski Topology and Euclidean Ball

Published on 10 Mar 2026 - 5:38

1k

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Irreducibility of an affine variety in an affince space vs in a projective space.

Published on 01 Feb 2016 - 13:41

109

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Why is a discrete algebraic subset of $K^n$ finite?

Published on 12 Feb 2016 - 11:00

86

Views

Zariski closure of the subset of a line.

Published on 13 Feb 2016 - 0:30

749

Views

Preimage of algebraic set under Segre embedding is algebraic

Published on 15 Mar 2016 - 1:27

2.1k

Views

Zariski topology, non-empty intersection of open sets

Published on 18 Mar 2016 - 3:10

2k

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showing that the union and intersection of two affine algebraic sets is still an affine algebraic set

Published on 18 Mar 2016 - 17:25

917

Views

How can I show that the Zariski topology is the discrete topology for any finite field?

Published on 19 Mar 2016 - 2:08

List Question

disconnected set in Zariski topology

When is the set of prime ideals that don't intersect a monoid zariski open?

Zariski topology questions from Atiyah and Macdonald's Introduction to Commutative Algebra

Why closed points of a variety are Zariski dense?

Why do we take the closure of the support?

The algebraic set $V$ is connected if and only if the coordinate ring $k[V]$ is not the direct sum of two nonzero ideals.

Zariski topology on $\mathbb{C}[X, Y]$

Zariski Topology and Euclidean Ball

Irreducibility of an affine variety in an affince space vs in a projective space.

Why is a discrete algebraic subset of $K^n$ finite?

Zariski closure of the subset of a line.

Preimage of algebraic set under Segre embedding is algebraic

Zariski topology, non-empty intersection of open sets

showing that the union and intersection of two affine algebraic sets is still an affine algebraic set

How can I show that the Zariski topology is the discrete topology for any finite field?

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