Question

Very basic question on projective bundles: Why is the fiber a vector space?

score 362 · Answer 1 · 2026-03-15 08:54:54

362

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Very basic question on projective bundles: Why is the fiber a vector space?

Published on 15 Mar 2026 - 8:54

score 109 · Answer 2 · 2015-11-12 15:46:36

109

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Image of not dominant morphism in Spec Z is finite

Published on 12 Nov 2015 - 15:46

score 3.3k · Answer 3 · 2026-04-01 23:11:41

3.3k

Views

Spectrum of infinite product of rings

Published on 01 Apr 2026 - 23:11

score 797 · Answer 4 · 2026-04-03 04:19:49

797

Views

Why is the rank of a locally free sheaf same everywhere if $X$ is connected?

Published on 03 Apr 2026 - 4:19

score 1k · Answer 5 · 2026-04-01 16:41:55

1k

Views

Hartshorne problem III.5.2(a)

Published on 01 Apr 2026 - 16:41

score 2.1k · Answer 6 · 2015-11-21 20:57:30

2.1k

Views

Intuition for the valuative criterion for properness of morphisms?

Published on 21 Nov 2015 - 20:57

score 90 · Answer 7 · 2015-11-22 21:48:04

90

Views

Is there an example of a scheme $X$, irreducible, with a dense open subset $U$ so that $\dim U < \dim X$?

Published on 22 Nov 2015 - 21:48

score 1.5k · Answer 8 · 2015-11-23 01:08:48

1.5k

Views

Is the set of regular points in a scheme open in general?

Published on 23 Nov 2015 - 1:08

score 588 · Answer 9 · 2015-11-23 01:28:15

588

Views

Non-noetherian scheme with infinitely many irreducible components passing through a point? Point still a domain?

Published on 23 Nov 2015 - 1:28

score 60 · Answer 10 · 2015-11-28 01:24:14

60

Views

How should I think of schemes of the form $\operatorname{spec} k[f_1, \ldots, f_n]$, $f_i \in k[x_1, \ldots, x_m]$?

Published on 28 Nov 2015 - 1:24

score 198 · Answer 11 · 2026-04-03 06:05:08

198

Views

Morphisms of schemes are $\mathcal{O}-$modules

Published on 03 Apr 2026 - 6:05

score 604 · Answer 12 · 2026-03-27 17:36:21

604

Views

Hartshorne Exercise III.8.4(c)

Published on 27 Mar 2026 - 17:36

score 190 · Answer 13 · 2015-11-29 02:07:45

190

Views

Coproduct decomposition of the quot scheme functor

Published on 29 Nov 2015 - 2:07

score 373 · Answer 14 · 2015-12-02 14:38:12

373

Views

What does the case of $\operatorname{Spec}C^{\infty}(M)$ tell us about the relavance of scheme theory to general rings?

Published on 02 Dec 2015 - 14:38

score 278 · Answer 15 · 2026-04-03 06:07:59

278

Views

Vanishing of Tor sheaf on a union of subschemes with vanishing Tor.

Published on 03 Apr 2026 - 6:07

List Question

Very basic question on projective bundles: Why is the fiber a vector space?

Image of not dominant morphism in Spec Z is finite

Spectrum of infinite product of rings

Why is the rank of a locally free sheaf same everywhere if $X$ is connected?

Hartshorne problem III.5.2(a)

Intuition for the valuative criterion for properness of morphisms?

Is there an example of a scheme $X$, irreducible, with a dense open subset $U$ so that $\dim U < \dim X$?

Is the set of regular points in a scheme open in general?

Non-noetherian scheme with infinitely many irreducible components passing through a point? Point still a domain?

How should I think of schemes of the form $\operatorname{spec} k[f_1, \ldots, f_n]$, $f_i \in k[x_1, \ldots, x_m]$?

Morphisms of schemes are $\mathcal{O}-$modules

Hartshorne Exercise III.8.4(c)

Coproduct decomposition of the quot scheme functor

What does the case of $\operatorname{Spec}C^{\infty}(M)$ tell us about the relavance of scheme theory to general rings?

Vanishing of Tor sheaf on a union of subschemes with vanishing Tor.

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