Question

Computing local dimensions of affine and projective space

score 30 · Answer 1 · 2020-05-09 14:30:38

30

Views

Computing local dimensions of affine and projective space

Published on 09 May 2020 - 14:30

score 91 · Answer 2 · 2020-05-15 16:47:07

91

Views

Concerning the spectrum of a quasi coherent $\mathcal{O}_{X}$ algebra

Published on 15 May 2020 - 16:47

score 48 · Answer 3 · 2020-05-18 18:22:55

48

Views

Morphism $f:X\rightarrow\text{Spec}(B)$ is quasi - affine, if $X$ is quasi - affine.

Published on 18 May 2020 - 18:22

score 203 · Answer 4 · 2020-05-28 12:21:48

203

Views

Punctured spectrum of a (reduced) Noetherian local ring of dimension $1$ is an affine- scheme?

Published on 28 May 2020 - 12:21

score 496 · Answer 5 · 2020-05-28 12:33:52

496

Views

Affine scheme which is irreducible but not connected.

Published on 28 May 2020 - 12:33

score 452 · Answer 6 · 2020-05-30 06:28:23

452

Views

Affine scheme which is connected but not irreducible and not reduced.

Published on 30 May 2020 - 6:28

score 259 · Answer 7 · 2020-05-31 20:53:38

259

Views

Showing that $\text{Hom}(M,\Gamma(X,\mathcal{F}))\simeq \text{Hom}(\widetilde{M},\mathcal{F})$ (exercise II.5.3 from Hartshorne)

Published on 31 May 2020 - 20:53

score 43 · Answer 8 · 2020-06-04 21:38:25

43

Views

Identifying morphisms of affine $k$-scheme with solutions of polynomials

Published on 04 Jun 2020 - 21:38

score 37 · Answer 9 · 2020-06-07 12:48:18

37

Views

How to prove $f^{-1}(V) \cong f^{-1}(U) \times_U V$, where $f: X \to Y$ is a morphism of schemes

Published on 07 Jun 2020 - 12:48

score 107 · Answer 10 · 2020-06-08 12:57:44

107

Views

How do we know there is a closed point of $Y \cap U$ where $Y \cap U$ is a closed subset of open subscheme $U$.

Published on 08 Jun 2020 - 12:57

score 95 · Answer 11 · 2026-03-25 20:36:18

95

Views

Proving that a quasi-coherent $\mathcal{F}$ is coherent by looking at one affine covering

Published on 25 Mar 2026 - 20:36

score 39 · Answer 12 · 2026-03-25 23:42:47

39

Views

$f_*\mathcal{F}$ is quasi-coherent if $\mathcal{F}$ is quasi-coherent and $f$ is affine

Published on 25 Mar 2026 - 23:42

score 54 · Answer 13 · 2020-06-11 16:36:19

54

Views

basic notion about schemes.. what is the difference between $s(x)$ and $s_x$ for $s \in \Gamma(U, O_X)$

Published on 11 Jun 2020 - 16:36

score 1.1k · Answer 14 · 2020-06-11 18:37:29

1.1k

Views

Closed immersions are affine morphisms

Published on 11 Jun 2020 - 18:37

score 605 · Answer 15 · 2026-03-25 02:59:43

605

Views

Residue fields at points on $\mathbb{A}^n$

Published on 25 Mar 2026 - 2:59

List Question

Computing local dimensions of affine and projective space

Concerning the spectrum of a quasi coherent $\mathcal{O}_{X}$ algebra

Morphism $f:X\rightarrow\text{Spec}(B)$ is quasi - affine, if $X$ is quasi - affine.

Punctured spectrum of a (reduced) Noetherian local ring of dimension $1$ is an affine- scheme?

Affine scheme which is irreducible but not connected.

Affine scheme which is connected but not irreducible and not reduced.

Showing that $\text{Hom}(M,\Gamma(X,\mathcal{F}))\simeq \text{Hom}(\widetilde{M},\mathcal{F})$ (exercise II.5.3 from Hartshorne)

Identifying morphisms of affine $k$-scheme with solutions of polynomials

How to prove $f^{-1}(V) \cong f^{-1}(U) \times_U V$, where $f: X \to Y$ is a morphism of schemes

How do we know there is a closed point of $Y \cap U$ where $Y \cap U$ is a closed subset of open subscheme $U$.

Proving that a quasi-coherent $\mathcal{F}$ is coherent by looking at one affine covering

$f_*\mathcal{F}$ is quasi-coherent if $\mathcal{F}$ is quasi-coherent and $f$ is affine

basic notion about schemes.. what is the difference between $s(x)$ and $s_x$ for $s \in \Gamma(U, O_X)$

Closed immersions are affine morphisms

Residue fields at points on $\mathbb{A}^n$

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