Question

Topology of $x^2+y^2 = 1$ over $\mathbb{C}^2$

score 89 · Answer 1 · 2026-03-28 08:51:23

89

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Topology of $x^2+y^2 = 1$ over $\mathbb{C}^2$

Published on 28 Mar 2026 - 8:51

score 104 · Answer 2 · 2026-04-07 03:53:14

104

Views

Every finite integral extension of a Henselian, pseudo-geometric and analytically normal ring is algebraically closed in its completion.

Published on 07 Apr 2026 - 3:53

score 365 · Answer 3 · 2026-04-12 13:29:20

365

Views

Is there a definition of morphism of gluing data of schemes that makes gluing an adjoint functor?

Published on 12 Apr 2026 - 13:29

score 1.8k · Answer 4 · 2026-03-30 13:04:00

1.8k

Views

If $L\mid K$ is a finite extension of fields then K is perfect iff L is perfect

Published on 30 Mar 2026 - 13:04

score 202 · Answer 5 · 2026-04-10 23:07:39

202

Views

About a strategy to check smoothness of an algebraic variety

Published on 10 Apr 2026 - 23:07

score 45 · Answer 6 · 2026-03-26 16:05:24

45

Views

The stalk $\mathscr{O}_x$ can be embedded in $\mathscr{F}(X)_x$

Published on 26 Mar 2026 - 16:05

score 222 · Answer 7 · 2026-04-12 14:45:14

222

Views

Hilbert scheme of two points of affine n space

Published on 12 Apr 2026 - 14:45

score 78 · Answer 8 · 2026-04-06 02:41:31

78

Views

Algebraic geometry interpretation of deducing $\Re(z)= -1$ from $(z+2)^6=z^6$

Published on 06 Apr 2026 - 2:41

score 653 · Answer 9 · 2026-04-11 22:40:18

653

Views

Scheme-theoretic Preimage and Fibered Product of Schemes

Published on 11 Apr 2026 - 22:40

score 373 · Answer 10 · 2026-04-12 01:01:39

373

Views

can the arithmetic genus of a smooth projective surface be arbitrary?

Published on 12 Apr 2026 - 1:01

score 268 · Answer 11 · 2026-04-07 02:06:10

268

Views

Flatness criterion for a finite type algebra based on the Jacobian

Published on 07 Apr 2026 - 2:06

score 284 · Answer 12 · 2026-03-25 06:11:01

284

Views

Restriction section of a sheaf to a closed set?

Published on 25 Mar 2026 - 6:11

score 151 · Answer 13 · 2026-03-26 16:06:12

151

Views

Exact sequence of structure sheaves implies exact sequence of twisted sheaves?

Published on 26 Mar 2026 - 16:06

score 51 · Answer 14 · 2026-04-06 22:22:39

51

Views

Blow up of a planar curve at a singularity

Published on 06 Apr 2026 - 22:22

score 268 · Answer 15 · 2026-04-09 07:10:47

268

Views

The fields involved in algebraic geometry / polynomial rings

Published on 09 Apr 2026 - 7:10

List Question

Topology of $x^2+y^2 = 1$ over $\mathbb{C}^2$

Every finite integral extension of a Henselian, pseudo-geometric and analytically normal ring is algebraically closed in its completion.

Is there a definition of morphism of gluing data of schemes that makes gluing an adjoint functor?

If $L\mid K$ is a finite extension of fields then K is perfect iff L is perfect

About a strategy to check smoothness of an algebraic variety

The stalk $\mathscr{O}_x$ can be embedded in $\mathscr{F}(X)_x$

Hilbert scheme of two points of affine n space

Algebraic geometry interpretation of deducing $\Re(z)= -1$ from $(z+2)^6=z^6$

Scheme-theoretic Preimage and Fibered Product of Schemes

can the arithmetic genus of a smooth projective surface be arbitrary?

Flatness criterion for a finite type algebra based on the Jacobian

Restriction section of a sheaf to a closed set?

Exact sequence of structure sheaves implies exact sequence of twisted sheaves?

Blow up of a planar curve at a singularity

The fields involved in algebraic geometry / polynomial rings

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