Question

Exact sequence given effective divisor

score 359 · Answer 1 · 2026-03-25 17:35:35

359

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Exact sequence given effective divisor

Published on 25 Mar 2026 - 17:35

score 170 · Answer 2 · 2026-03-26 06:29:49

170

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Definition of étale morphism in Mumford

Published on 26 Mar 2026 - 6:29

score 205 · Answer 3 · 2026-04-01 09:32:45

205

Views

Definition of comma category of a category.

Published on 01 Apr 2026 - 9:32

score 134 · Answer 4 · 2020-07-14 20:44:16

Suppose $Z\to Y$ is a morphism of schemes, and $f(z)$ is contained in an open affine of $V\subset Y$. Do the specializations of $z$ also lie in $V$?

score 222 · Answer 5 · 2026-03-25 14:25:08

222

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Closure of the pre-image of the closed subscheme of a blow-up gives the whole blow-up?

Published on 25 Mar 2026 - 14:25

score 58 · Answer 6 · 2020-07-16 13:43:48

58

Views

Can we recover a reduced finite type $k$-scheme from its set of closed points, if $k$ is not algebraically closed?

Published on 16 Jul 2020 - 13:43

score 267 · Answer 7 · 2026-03-25 06:06:42

267

Views

The quotient scheme $X/\Gamma$ when $X$ is separated and every orbit is contained in an affine.

Published on 25 Mar 2026 - 6:06

score 305 · Answer 8 · 2026-03-26 06:31:07

305

Views

If $\operatorname{Spec} A＝\operatorname{Spec} B$, then $A$ is isomorphic to $B$

Published on 26 Mar 2026 - 6:31

score 316 · Answer 9 · 2026-03-29 01:35:42

316

Views

The Chinese Remainder Theorem is a geometric fact (more general version)

Published on 29 Mar 2026 - 1:35

score 32 · Answer 10 · 2026-03-26 06:32:32

32

Views

$X$ is locally the locus of roots of $n$ equatinos in $Y \times \mathbb{A}^n$ given etale $f: X \to Y$

Published on 26 Mar 2026 - 6:32

score 409 · Answer 11 · 2026-03-26 06:32:31

409

Views

Spec of $k(X)$ is the fibre of $f$ over the generic point of $Y$ given $f: X \to Y$

Published on 26 Mar 2026 - 6:32

score 351 · Answer 12 · 2026-03-25 17:20:49

351

Views

Stalks of Higher direct images of structure sheaf at smooth points

Published on 25 Mar 2026 - 17:20

score 101 · Answer 13 · 2026-03-25 15:42:25

101

Views

Rational singularity of Spec, Proj and Spec of localization of a standard graded $2$-dimensional ring

Published on 25 Mar 2026 - 15:42

score 773 · Answer 14 · 2020-07-22 14:51:28

773

Views

Proper flat morphism with geometrically connected and smooth generic fiber

Published on 22 Jul 2020 - 14:51

score 284 · Answer 15 · 2026-02-23 06:25:22

284

Views

fibre of a scheme of finite type over a field being quasi-compact

Published on 23 Feb 2026 - 6:25

List Question

Exact sequence given effective divisor

Definition of étale morphism in Mumford

Definition of comma category of a category.

Suppose $Z\to Y$ is a morphism of schemes, and $f(z)$ is contained in an open affine of $V\subset Y$. Do the specializations of $z$ also lie in $V$?

Closure of the pre-image of the closed subscheme of a blow-up gives the whole blow-up?

Can we recover a reduced finite type $k$-scheme from its set of closed points, if $k$ is not algebraically closed?

The quotient scheme $X/\Gamma$ when $X$ is separated and every orbit is contained in an affine.

If $\operatorname{Spec} A＝\operatorname{Spec} B$, then $A$ is isomorphic to $B$

The Chinese Remainder Theorem is a geometric fact (more general version)

$X$ is locally the locus of roots of $n$ equatinos in $Y \times \mathbb{A}^n$ given etale $f: X \to Y$

Spec of $k(X)$ is the fibre of $f$ over the generic point of $Y$ given $f: X \to Y$

Stalks of Higher direct images of structure sheaf at smooth points

Rational singularity of Spec, Proj and Spec of localization of a standard graded $2$-dimensional ring

Proper flat morphism with geometrically connected and smooth generic fiber

fibre of a scheme of finite type over a field being quasi-compact

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