Question

Frobenius pullback of $\mathcal O_X$ and Frobenius twist

score 85 · Answer 1 · 2019-12-05 10:54:51

85

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Frobenius pullback of $\mathcal O_X$ and Frobenius twist

Published on 05 Dec 2019 - 10:54

score 41 · Answer 2 · 2020-01-15 03:19:28

41

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

Published on 15 Jan 2020 - 3:19

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

105

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Lifting a Frobenius endomorphism under an étale morphism

Published on 25 Mar 2026 - 9:25

score 52 · Answer 4 · 2020-03-11 18:40:59

52

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Bertini for finite morphisms

Published on 11 Mar 2020 - 18:40

score 109 · Answer 5 · 2020-03-15 07:30:02

109

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

Published on 15 Mar 2020 - 7:30

score 71 · Answer 6 · 2020-04-21 13:28:08

71

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

Published on 21 Apr 2020 - 13:28

score 374 · Answer 7 · 2020-05-16 18:41:40

374

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$X^{p^k} - a ∈ K[X]$ irreducible?

Published on 16 May 2020 - 18:41

score 76 · Answer 8 · 2020-05-18 22:07:27

76

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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 18 May 2020 - 22:07

score 516 · Answer 9 · 2020-05-22 20:27:18

516

Views

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

Published on 22 May 2020 - 20:27

score 100 · Answer 10 · 2020-05-31 23:45:03

100

Views

algebraic de Rham cohomology of blowup of relative line

Published on 31 May 2020 - 23:45

score 157 · Answer 11 · 2026-03-23 00:39:13

157

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 23 Mar 2026 - 0:39

score 71 · Answer 12 · 2020-06-20 06:49:04

71

Views

Is the field characteristic necessary for this diagonalization question?

Published on 20 Jun 2020 - 6:49

score 204 · Answer 13 · 2020-07-15 19:29:18

204

Views

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

Published on 15 Jul 2020 - 19:29

score 90 · Answer 14 · 2020-07-25 19:09:32

90

Views

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

Published on 25 Jul 2020 - 19:09

score 674 · Answer 15 · 2026-03-21 12:15:39

674

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 21 Mar 2026 - 12:15

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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