Question

Every Variety is Quasicompact?

score 63 · Answer 1 · 2024-02-26 10:28:46

63

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Every Variety is Quasicompact?

Published on 26 Feb 2024 - 10:28

score 35 · Answer 2 · 2024-02-29 12:53:13

35

Views

Proper geometrically integral scheme $X$ over $k$ has $k$ as subfield $\mathcal{O}_X(U)$?

Published on 29 Feb 2024 - 12:53

score 151 · Answer 3 · 2026-04-01 08:09:07

151

Views

Hartshorne Example II.7.8.6

Published on 01 Apr 2026 - 8:09

score 89 · Answer 4 · 2026-04-01 18:30:57

89

Views

étale, smooth, and unramified for product of schemes

Published on 01 Apr 2026 - 18:30

score 102 · Answer 5 · 2026-03-26 01:11:43

102

Views

Is there a "correct" $k$ scheme structure to put on $\coprod_{i=1}^n \operatorname{Spec}(k)$?

Published on 26 Mar 2026 - 1:11

score 55 · Answer 6 · 2026-03-25 04:41:13

55

Views

What are the categories of IND and PRO schemes?

Published on 25 Mar 2026 - 4:41

score 91 · Answer 7 · 2026-02-23 11:33:08

91

Views

Normality and integrality of schemes and splitting of map from structure sheaf to derived-pushforward of structure sheaf along proper birational map

Published on 23 Feb 2026 - 11:33

score 75 · Answer 8 · 2026-03-26 21:25:22

75

Views

Proof critique - Glueing local isomorphism

Published on 26 Mar 2026 - 21:25

score 36 · Answer 9 · 2024-03-14 20:35:53

36

Views

Graph morphism is obtained by base extension from the diagonal morphism

Published on 14 Mar 2024 - 20:35

score 35 · Answer 10 · 2024-03-17 21:16:24

35

Views

Example where the base change of $g \circ f$ along $g$ is not equal to $f$.

Published on 17 Mar 2024 - 21:16

score 31 · Answer 11 · 2024-03-20 10:36:31

31

Views

Proper $\mathcal{O}$-connected morphism of locally Noetherian schemes is surjective?

Published on 20 Mar 2024 - 10:36

score 65 · Answer 12 · 2026-03-26 03:06:11

65

Views

Global version of an ideal being "finitely generated up to radical"

Published on 26 Mar 2026 - 3:06

score 53 · Answer 13 · 2026-03-26 04:34:41

53

Views

Regularity of $H \cap X$ in Bertini's Theorem (Hartshorne CH. 2, Theorem 8.18)

Published on 26 Mar 2026 - 4:34

score 57 · Answer 14 · 2024-03-21 10:32:06

57

Views

Proof of Theorem 1.2.17 (Amplitude in families) - [PAG1] Robert Lazarsfeld

Published on 21 Mar 2024 - 10:32

score 58 · Answer 15 · 2026-02-23 14:49:01

58

Views

Restriction of global sections to the fiber without semicontinuity

Published on 23 Feb 2026 - 14:49

List Question

Every Variety is Quasicompact?

Proper geometrically integral scheme $X$ over $k$ has $k$ as subfield $\mathcal{O}_X(U)$?

Hartshorne Example II.7.8.6

étale, smooth, and unramified for product of schemes

Is there a "correct" $k$ scheme structure to put on $\coprod_{i=1}^n \operatorname{Spec}(k)$?

What are the categories of IND and PRO schemes?

Normality and integrality of schemes and splitting of map from structure sheaf to derived-pushforward of structure sheaf along proper birational map

Proof critique - Glueing local isomorphism

Graph morphism is obtained by base extension from the diagonal morphism

Example where the base change of $g \circ f$ along $g$ is not equal to $f$.

Proper $\mathcal{O}$-connected morphism of locally Noetherian schemes is surjective?

Global version of an ideal being "finitely generated up to radical"

Regularity of $H \cap X$ in Bertini's Theorem (Hartshorne CH. 2, Theorem 8.18)

Proof of Theorem 1.2.17 (Amplitude in families) - [PAG1] Robert Lazarsfeld

Restriction of global sections to the fiber without semicontinuity

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