List questions from positive-characteristic

Published on 28 Sep 2013 - 22:36

159

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Perturbation in characteristic p, or Why, really, does Lie's theorem fail?

Published on 25 Oct 2013 - 10:16

1.5k

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In characteristic $p$, the field extension $k(X,Y)$ over $k(X^p,Y^p)$ has degree $p^2$

Published on 19 Nov 2013 - 15:32

1.1k

Views

In characteristic $p$, the field extension $k(X,Y)$ over $k(X^p,Y^p)$ is not simple

Published on 19 Nov 2013 - 16:24

470

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Normal curve after base change (p > 0)

Published on 15 Dec 2013 - 10:27

1.6k

Views

Question about matrices whose row and column sums are zero

Published on 24 Dec 2013 - 14:22

131

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Alternative models of a hyperelliptic curve

Published on 25 Mar 2026 - 17:43

150

Views

Why is the tight closure tightly closed?

Published on 26 Jan 2014 - 11:19

161

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Positivstellensatz for non-polynomial

Published on 25 Mar 2026 - 13:54

224

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Regular rings with F-finite field of fractions

Published on 25 Mar 2026 - 6:04

35

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$(k^s)^p$ generates $k^s$ over $k$ if $k$ is $F$-finite?

Published on 18 Apr 2017 - 15:03

474

Views

Is the Polynomial $X^{p^n}-X$ the zero polynomial in characteristic $p$?

Published on 21 Apr 2017 - 13:15

372

Views

Discriminant in char $2$

Published on 31 May 2017 - 23:52

1.1k

Views

$R$ a ring with 1 and charac. $n>1$ (resp. 0) $\implies R$ contains a subring $\simeq \Bbb{Z}_n$ (resp. $\Bbb{Z}$). What happens if $R$ has no 1?!

Published on 25 Mar 2026 - 12:51

134

Views

Finite generation of a pre-image of a finitely generated subalgebra

Published on 19 Aug 2017 - 22:37

List Question

Example of rings of the same positive characteristic that do not embed into their tensor product?

Perturbation in characteristic p, or Why, really, does Lie's theorem fail?

In characteristic $p$, the field extension $k(X,Y)$ over $k(X^p,Y^p)$ has degree $p^2$

In characteristic $p$, the field extension $k(X,Y)$ over $k(X^p,Y^p)$ is not simple

Normal curve after base change (p > 0)

Question about matrices whose row and column sums are zero

Alternative models of a hyperelliptic curve

Why is the tight closure tightly closed?

Positivstellensatz for non-polynomial

Regular rings with F-finite field of fractions

$(k^s)^p$ generates $k^s$ over $k$ if $k$ is $F$-finite?

Is the Polynomial $X^{p^n}-X$ the zero polynomial in characteristic $p$?

Discriminant in char $2$

$R$ a ring with 1 and charac. $n>1$ (resp. 0) $\implies R$ contains a subring $\simeq \Bbb{Z}_n$ (resp. $\Bbb{Z}$). What happens if $R$ has no 1?!

Finite generation of a pre-image of a finitely generated subalgebra

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