Question

Frobenius pullback of $\mathcal O_X$ and Frobenius twist

score 86 · Answer 1 · 2026-03-25 11:54:14

86

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Frobenius pullback of $\mathcal O_X$ and Frobenius twist

Published on 25 Mar 2026 - 11:54

score 42 · Answer 2 · 2026-03-25 11:54:15

42

Views

Closed form expression for Taylor-like series in 2 variables in positive characteristic

Published on 25 Mar 2026 - 11:54

score 105 · Answer 3 · 2026-03-25 09:25:35

105

Views

Lifting a Frobenius endomorphism under an étale morphism

Published on 25 Mar 2026 - 9:25

score 54 · Answer 4 · 2026-04-01 12:32:47

54

Views

Bertini for finite morphisms

Published on 01 Apr 2026 - 12:32

score 110 · Answer 5 · 2026-03-25 11:54:19

110

Views

Is a normal irreducible separable polynomial of degree $p$ over a field of characteristic $p$ necessarily Artin-Schreier

Published on 25 Mar 2026 - 11:54

score 72 · Answer 6 · 2026-03-25 11:54:04

72

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Fields of prime characteristic in which an irreducible polynomial has a root of multiplicity > 1

Published on 25 Mar 2026 - 11:54

score 376 · Answer 7 · 2026-04-01 17:15:12

376

Views

$X^{p^k} - a ∈ K[X]$ irreducible?

Published on 01 Apr 2026 - 17:15

score 77 · Answer 8 · 2026-03-25 11:54:19

77

Views

Root of $f$ is $p^{\text{th}}$ power in extension field $\Rightarrow$ coefficients of $f$ are $p^{\text{th}}$ powers in base field.

Published on 25 Mar 2026 - 11:54

score 517 · Answer 9 · 2026-03-25 11:54:19

517

Views

If the characteristic of a field is two, doesn't the quadratic form associated with a bilinear form exist?

Published on 25 Mar 2026 - 11:54

score 101 · Answer 10 · 2026-03-25 11:54:20

101

Views

algebraic de Rham cohomology of blowup of relative line

Published on 25 Mar 2026 - 11:54

score 163 · Answer 11 · 2026-05-03 12:58:01

163

Views

Bounds on the degree and number of polynomials in the reduced Gröbner basis of an ideal and its radical over a field of positive characteristic.

Published on 03 May 2026 - 12:58

score 72 · Answer 12 · 2026-03-25 11:53:21

72

Views

Is the field characteristic necessary for this diagonalization question?

Published on 25 Mar 2026 - 11:53

score 205 · Answer 13 · 2026-03-25 11:54:05

205

Views

In characteristic 2 the splitting field of a cubic has degree 6

Published on 25 Mar 2026 - 11:54

score 91 · Answer 14 · 2026-03-25 11:54:08

91

Views

Katz's proof of Cartier's (descent) theorem

Published on 25 Mar 2026 - 11:54

score 675 · Answer 15 · 2026-03-25 11:54:19

675

Views

Let $R$ be a commutative unital ring. Is it true that the group of units of $R$ is not isomorphic with the additive group of $R$?

Published on 25 Mar 2026 - 11:54

List Question

Frobenius pullback of $\mathcal O_X$ and Frobenius twist

Closed form expression for Taylor-like series in 2 variables in positive characteristic

Lifting a Frobenius endomorphism under an étale morphism

Bertini for finite morphisms

Is a normal irreducible separable polynomial of degree $p$ over a field of characteristic $p$ necessarily Artin-Schreier

Fields of prime characteristic in which an irreducible polynomial has a root of multiplicity > 1

$X^{p^k} - a ∈ K[X]$ irreducible?

Root of $f$ is $p^{\text{th}}$ power in extension field $\Rightarrow$ coefficients of $f$ are $p^{\text{th}}$ powers in base field.

If the characteristic of a field is two, doesn't the quadratic form associated with a bilinear form exist?

algebraic de Rham cohomology of blowup of relative line

Bounds on the degree and number of polynomials in the reduced Gröbner basis of an ideal and its radical over a field of positive characteristic.

Is the field characteristic necessary for this diagonalization question?

In characteristic 2 the splitting field of a cubic has degree 6

Katz's proof of Cartier's (descent) theorem

Let $R$ be a commutative unital ring. Is it true that the group of units of $R$ is not isomorphic with the additive group of $R$?

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