Question

If $A_{\overline{k}}\cong \frac{\overline{k}[x]}{(x^p)}$, show that $A\cong \frac{k[x]}{(x^p-c)}$ where $k$ is a field of characteristic $p$

score 92 · Answer 1 · 2026-04-15 02:17:34

92

Views

If $A_{\overline{k}}\cong \frac{\overline{k}[x]}{(x^p)}$, show that $A\cong \frac{k[x]}{(x^p-c)}$ where $k$ is a field of characteristic $p$

Published on 15 Apr 2026 - 2:17

score 123 · Answer 2 · 2026-04-14 22:26:44

123

Views

If $A\otimes_R S\cong \frac{S[x]}{(x^p)}$ then $A\cong \frac{R[y]}{(y^p-c)}$ where $R\to S$ is an fppf map

Published on 14 Apr 2026 - 22:26

score 100 · Answer 3 · 2026-04-14 02:10:42

100

Views

A morphism $S' \to S$ is a morphism of descent for $(Sch \to Sch)$ iff it is a universal effective epimorphism for $(Sch)$?

Published on 14 Apr 2026 - 2:10

score 158 · Answer 4 · 2026-03-25 12:50:03

158

Views

meaning of sentence that a "presheaf/K-theory satisfies descent on a Grothendieck site"

Published on 25 Mar 2026 - 12:50

score 107 · Answer 5 · 2026-04-14 05:35:22

107

Views

What is a fiber of the category of arrows?

Published on 14 Apr 2026 - 5:35

score 51 · Answer 6 · 2026-04-13 12:02:32

51

Views

What is the relationship between Fermat's method of descent and UFD?

Published on 13 Apr 2026 - 12:02

score 82 · Answer 7 · 2026-04-10 15:39:57

82

Views

Is a surjective morphism $V \to U$ quasi-compact and quasi-separated, if $V, U$ are quasi-compact and $U$ is affine?

Published on 10 Apr 2026 - 15:39

score 161 · Answer 8 · 2026-04-16 07:49:50

161

Views

Pullback $p^*$ reflects isomorphisms implies $p$ is universal quotient map

Published on 16 Apr 2026 - 7:49

score 52 · Answer 9 · 2026-04-30 11:25:16

52

Views

Descent Methods (Line Search)

Published on 30 Apr 2026 - 11:25

score 53 · Answer 10 · 2026-04-11 04:19:02

53

Views

Induced group action on tangent bundle commutes with structure group?

Published on 11 Apr 2026 - 4:19

score 97 · Answer 11 · 2026-04-14 06:41:21

97

Views

Asymptotic behavior of the integral $\int_{0}^{\infty} e^{-\rho \cosh(R)}\cosh(Rq)dR$

Published on 14 Apr 2026 - 6:41

score 82 · Answer 12 · 2026-04-11 04:38:06

82

Views

some total question about line search methods

Published on 11 Apr 2026 - 4:38

score 81 · Answer 13 · 2026-04-09 18:14:51

81

Views

conditions on glueing group scheme

Published on 09 Apr 2026 - 18:14

score 34 · Answer 14 · 2026-04-14 04:30:12

34

Views

Exercise about efficient step size

Published on 14 Apr 2026 - 4:30

List Question

If $A_{\overline{k}}\cong \frac{\overline{k}[x]}{(x^p)}$, show that $A\cong \frac{k[x]}{(x^p-c)}$ where $k$ is a field of characteristic $p$

If $A\otimes_R S\cong \frac{S[x]}{(x^p)}$ then $A\cong \frac{R[y]}{(y^p-c)}$ where $R\to S$ is an fppf map

A morphism $S' \to S$ is a morphism of descent for $(Sch \to Sch)$ iff it is a universal effective epimorphism for $(Sch)$?

meaning of sentence that a "presheaf/K-theory satisfies descent on a Grothendieck site"

What is a fiber of the category of arrows?

What is the relationship between Fermat's method of descent and UFD?

Is a surjective morphism $V \to U$ quasi-compact and quasi-separated, if $V, U$ are quasi-compact and $U$ is affine?

Pullback $p^*$ reflects isomorphisms implies $p$ is universal quotient map

Descent Methods (Line Search)

Induced group action on tangent bundle commutes with structure group?

Asymptotic behavior of the integral $\int_{0}^{\infty} e^{-\rho \cosh(R)}\cosh(Rq)dR$

some total question about line search methods

conditions on glueing group scheme

Exercise about efficient step size

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