Question

Show that the ideal $(XY+XZ+YZ,XYZ) = (X,Y)(Y,Z)(X,Z)$ and the irreducibility of the vanishing sets of the factors.

score 676 · Answer 1 · 2026-03-20 18:35:01

676

Views

Show that the ideal $(XY+XZ+YZ,XYZ) = (X,Y)(Y,Z)(X,Z)$ and the irreducibility of the vanishing sets of the factors.

Published on 20 Mar 2026 - 18:35

score 205 · Answer 2 · 2026-03-22 15:33:16

205

Views

Property of the Zariski Topology $V(J) \subset V(I)$

Published on 22 Mar 2026 - 15:33

score 132 · Answer 3 · 2026-03-22 08:13:54

132

Views

Proving $\mathcal V(\mathcal I(A)) =A$ and $\mathcal I(\mathcal V(B))= \sqrt{B} $

Published on 22 Mar 2026 - 8:13

score 285 · Answer 4 · 2026-03-23 02:24:23

285

Views

Every semisimple Lie algebra is rigid

Published on 23 Mar 2026 - 2:24

score 886 · Answer 5 · 2026-03-19 23:24:49

886

Views

Restriction of a morphism is a morphism

Published on 19 Mar 2026 - 23:24

score 239 · Answer 6 · 2026-03-22 11:28:52

239

Views

Affine neighbourhood containing two given points

Published on 22 Mar 2026 - 11:28

score 147 · Answer 7 · 2026-03-24 05:53:22

147

Views

Properties of the Zariski topology on Proj

Published on 24 Mar 2026 - 5:53

score 201 · Answer 8 · 2026-03-23 11:22:40

201

Views

Proving polynomial function is continuous for Zariski topology on $\mathbb{R}$

Published on 23 Mar 2026 - 11:22

score 97 · Answer 9 · 2026-03-22 14:51:24

97

Views

Zariski topology and surfaces

Published on 22 Mar 2026 - 14:51

score 72 · Answer 10 · 2026-03-23 03:51:39

72

Views

Projection image of a curve in 2 dimensional projective space is closed.

Published on 23 Mar 2026 - 3:51

score 328 · Answer 11 · 2026-03-23 03:32:47

328

Views

Homeomorphism of union of infinitely many topological spaces

Published on 23 Mar 2026 - 3:32

score 196 · Answer 12 · 2026-03-25 06:15:29

196

Views

Algebraic characterization for the set of all maximal ideals, as a subspace of $\operatorname{Spec} (R)$, to be connected

Published on 25 Mar 2026 - 6:15

score 146 · Answer 13 · 2026-03-25 01:18:56

146

Views

Are the affine and projective spaces $k^n$ and $P^n(k)$ , homeomorphic w.r.t. to the Zariski topology on them?

Published on 25 Mar 2026 - 1:18

score 119 · Answer 14 · 2026-03-25 01:18:51

119

Views

For which $m,n$, are the affine spaces $\mathbb A^n(k)$ and $\mathbb A^m(k)$ , with Zariski topology, are homeomorphic?

Published on 25 Mar 2026 - 1:18

score 275 · Answer 15 · 2026-03-25 01:18:31

275

Views

Under Zariski topology , $ \operatorname{Spec} k[X,Y] \cong \operatorname{Spec} k[X] \times \operatorname{Spec}k[Y]$?

Published on 25 Mar 2026 - 1:18

List Question

Show that the ideal $(XY+XZ+YZ,XYZ) = (X,Y)(Y,Z)(X,Z)$ and the irreducibility of the vanishing sets of the factors.

Property of the Zariski Topology $V(J) \subset V(I)$

Proving $\mathcal V(\mathcal I(A)) =A$ and $\mathcal I(\mathcal V(B))= \sqrt{B} $

Every semisimple Lie algebra is rigid

Restriction of a morphism is a morphism

Affine neighbourhood containing two given points

Properties of the Zariski topology on Proj

Proving polynomial function is continuous for Zariski topology on $\mathbb{R}$

Zariski topology and surfaces

Projection image of a curve in 2 dimensional projective space is closed.

Homeomorphism of union of infinitely many topological spaces

Algebraic characterization for the set of all maximal ideals, as a subspace of $\operatorname{Spec} (R)$, to be connected

Are the affine and projective spaces $k^n$ and $P^n(k)$ , homeomorphic w.r.t. to the Zariski topology on them?

For which $m,n$, are the affine spaces $\mathbb A^n(k)$ and $\mathbb A^m(k)$ , with Zariski topology, are homeomorphic?

Under Zariski topology , $ \operatorname{Spec} k[X,Y] \cong \operatorname{Spec} k[X] \times \operatorname{Spec}k[Y]$?

Trending Questions

Popular # Hahtags

Popular Questions