List questions from zariski-topology

Published on 21 Dec 2016 - 17:44

596

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Dimension of the Zariski cotangent space for the non-smooth points

Published on 25 Dec 2016 - 14:50

106

Views

A relation between open and closed sets in Zariski tolopogy

Published on 26 Dec 2016 - 12:00

24

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Is an affine open subset of a scheme stable under specialisations?

Published on 04 Jan 2017 - 9:38

258

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Prove $\{(u^3,u^2v,uv^2,v^3)\mid u,v\in\mathbb C\}$ is an algebraic set.

Published on 28 Jan 2017 - 18:14

45

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Characterization of two ideals $I$ and $J$ such that $IJ=0$

Published on 29 Jan 2017 - 0:18

364

Views

Prove that $\sqrt I\subset \sqrt J\iff Z(J)\subset Z(I)$

Published on 29 Jan 2017 - 14:37

980

Views

Proving that the Zariski topology in $\mathbb{A}^2$ is not the product topology of $\mathbb{A}^1\times \mathbb{A}^1$

Published on 29 Jan 2017 - 16:45

331

Views

Zariski neighbourhood of a prime ideal

Published on 31 Jan 2017 - 12:26

288

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The poset vs Zariski topology on Spec(R).

Published on 06 Feb 2017 - 20:21

2.4k

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set of closed points is dense in spectrum of $A$.

Published on 09 Feb 2017 - 11:13

550

Views

Trouble with Open Set Basis in Zariski

Published on 10 Feb 2017 - 19:10

730

Views

Irreducible Spectrum implies Zero-Divisors are Nilpotent

Published on 12 Feb 2017 - 22:47

47

Views

Minimal prime ideal and normalness

Published on 18 Feb 2017 - 17:53

733

Views

zariski continuous function with regular restrictions that is not regular in any exponent

Published on 06 Mar 2017 - 7:49

List Question

If $f^m(x_1,...,x_n)=0$ why $f(x_1,...,x_n)=0$?

Dimension of the Zariski cotangent space for the non-smooth points

A relation between open and closed sets in Zariski tolopogy

Is an affine open subset of a scheme stable under specialisations?

Prove $\{(u^3,u^2v,uv^2,v^3)\mid u,v\in\mathbb C\}$ is an algebraic set.

Characterization of two ideals $I$ and $J$ such that $IJ=0$

Prove that $\sqrt I\subset \sqrt J\iff Z(J)\subset Z(I)$

Proving that the Zariski topology in $\mathbb{A}^2$ is not the product topology of $\mathbb{A}^1\times \mathbb{A}^1$

Zariski neighbourhood of a prime ideal

The poset vs Zariski topology on Spec(R).

set of closed points is dense in spectrum of $A$.

Trouble with Open Set Basis in Zariski

Irreducible Spectrum implies Zero-Divisors are Nilpotent

Minimal prime ideal and normalness

zariski continuous function with regular restrictions that is not regular in any exponent

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