Question

Is $\varnothing$ an affine variety with these definitions?

score 276 · Answer 1 · 2015-03-09 21:00:05

276

Views

Is $\varnothing$ an affine variety with these definitions?

Published on 09 Mar 2015 - 21:00

score 888 · Answer 2 · 2015-03-11 22:37:17

888

Views

Proof of proposition 5.3.1 of Ravi Vakil's notes on algebraic geometry

Published on 11 Mar 2015 - 22:37

score 1k · Answer 3 · 2015-03-13 20:44:04

1k

Views

A question about the proof of the map from Spec B to Spec A is continuous

Published on 13 Mar 2015 - 20:44

score 369 · Answer 4 · 2015-03-24 20:09:26

369

Views

Basic question on isomorphism between section of structure sheaf of an affine scheme

Published on 24 Mar 2015 - 20:09

score 565 · Answer 5 · 2015-03-31 19:56:41

565

Views

affine scheme that is finite type over $\mathbb{Z}$

Published on 31 Mar 2015 - 19:56

score 69 · Answer 6 · 2015-04-06 22:07:10

69

Views

If $X$ is quasi-projective but the scheme $\tilde{X}$ is affine, is $X$ necessarily affine?

Published on 06 Apr 2015 - 22:07

score 1.6k · Answer 7 · 2015-04-17 20:03:39

1.6k

Views

About the ramification locus of a morphism with zero dimensional fibers

Published on 17 Apr 2015 - 20:03

score 1.3k · Answer 8 · 2026-03-26 06:21:22

1.3k

Views

What are the closed points of $\mathbb{A}_{\mathbb{R}}^2 = \operatorname{Spec}(\mathbb{R}[x,y])$?

Published on 26 Mar 2026 - 6:21

score 400 · Answer 9 · 2015-05-16 15:45:27

400

Views

If $X=Spec(R)$ and $Y=Spec(S)$ are affine schemes, then the disjoint union $X \sqcup Y$ is an affime scheme with $X \sqcup Y = Spec(R \times S)$

Published on 16 May 2015 - 15:45

score 151 · Answer 10 · 2015-05-18 01:37:25

151

Views

Show that $\mathbb{A}_\mathbb{C}^2 \ncong \mathbb{A}_\mathbb{C}^1 \times_{Spec(\mathbb{Z})} \mathbb{A}_\mathbb{C}^1$

Published on 18 May 2015 - 1:37

score 1.2k · Answer 11 · 2015-05-30 17:39:21

1.2k

Views

Closed subscheme of an affine scheme.

Published on 30 May 2015 - 17:39

score 225 · Answer 12 · 2026-03-26 02:56:02

225

Views

Non-computational proof that $\det(A)$ is a unit in $R$ implies $A$ is a unit, for $A \in M_n(R)$.

Published on 26 Mar 2026 - 2:56

score 124 · Answer 13 · 2015-06-26 18:47:08

124

Views

Birational map between a conic and an affine line (related to the classical formula of Pythagorean triples)

Published on 26 Jun 2015 - 18:47

score 349 · Answer 14 · 2015-06-30 22:10:14

349

Views

Trying to use the Zariski topology in a problem without knowing scheme theory.

Published on 30 Jun 2015 - 22:10

score 151 · Answer 15 · 2015-07-09 09:27:45

151

Views

Questions about Affine algebraic group scheme over an infinite field K

Published on 09 Jul 2015 - 9:27

List Question

Is $\varnothing$ an affine variety with these definitions?

Proof of proposition 5.3.1 of Ravi Vakil's notes on algebraic geometry

A question about the proof of the map from Spec B to Spec A is continuous

Basic question on isomorphism between section of structure sheaf of an affine scheme

affine scheme that is finite type over $\mathbb{Z}$

If $X$ is quasi-projective but the scheme $\tilde{X}$ is affine, is $X$ necessarily affine?

About the ramification locus of a morphism with zero dimensional fibers

What are the closed points of $\mathbb{A}_{\mathbb{R}}^2 = \operatorname{Spec}(\mathbb{R}[x,y])$?

If $X=Spec(R)$ and $Y=Spec(S)$ are affine schemes, then the disjoint union $X \sqcup Y$ is an affime scheme with $X \sqcup Y = Spec(R \times S)$

Show that $\mathbb{A}_\mathbb{C}^2 \ncong \mathbb{A}_\mathbb{C}^1 \times_{Spec(\mathbb{Z})} \mathbb{A}_\mathbb{C}^1$

Closed subscheme of an affine scheme.

Non-computational proof that $\det(A)$ is a unit in $R$ implies $A$ is a unit, for $A \in M_n(R)$.

Birational map between a conic and an affine line (related to the classical formula of Pythagorean triples)

Trying to use the Zariski topology in a problem without knowing scheme theory.

Questions about Affine algebraic group scheme over an infinite field K

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