List questions from function-fields

Published on 15 May 2019 - 5:25

47

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Definition of Algebraic Function Field

Published on 09 Jun 2019 - 6:13

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how to split a separable algebra?

Published on 23 Feb 2026 - 1:00

46

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Are these type spaces equivalent?

Published on 30 Jun 2019 - 17:07

642

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Equivalence between function fields and curves

Published on 03 Jul 2019 - 22:51

74

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Analogue of Wilson Theorem for polynomials in a finite field.

Published on 08 Jul 2019 - 8:20

764

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For every function field $L$ there is a smooth projective curve $C$ with $L\simeq k(C)$

Published on 19 Jul 2019 - 15:31

108

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Inertia group of function field

Published on 22 Mar 2026 - 2:57

143

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In the rational function field $K(x)|K$, the place at infinity $P_\infty$ has degree $1$

Published on 27 Aug 2019 - 20:07

24

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Genus behavior under base extension

Published on 30 Aug 2019 - 20:41

206

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What is the genus of an unramified extension of a function field?

Published on 06 Sep 2019 - 2:22

207

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Where can I find this paper by Iwasawa?

Published on 06 Sep 2019 - 14:52

194

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For positive genus, $\ell(A)=\deg(A)+1\Leftrightarrow A$ is a principal divisor

Published on 15 Sep 2019 - 17:25

96

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$F/K$ with a rational place $\Rightarrow F=K(x,y)$ with $[F:K(x)]=[F:K(y)]=2g+1$

Published on 17 Sep 2019 - 1:08

184

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Eisenstein criteria in k(t)[X]

Published on 20 Sep 2019 - 16:50

List Question

An isomorphism between $A/P^{e}A$ and $A/PA$ and the direct sum of a $p$-group

Definition of Algebraic Function Field

how to split a separable algebra?

Are these type spaces equivalent?

Equivalence between function fields and curves

Analogue of Wilson Theorem for polynomials in a finite field.

For every function field $L$ there is a smooth projective curve $C$ with $L\simeq k(C)$

Inertia group of function field

In the rational function field $K(x)|K$, the place at infinity $P_\infty$ has degree $1$

Genus behavior under base extension

What is the genus of an unramified extension of a function field?

Where can I find this paper by Iwasawa?

For positive genus, $\ell(A)=\deg(A)+1\Leftrightarrow A$ is a principal divisor

$F/K$ with a rational place $\Rightarrow F=K(x,y)$ with $[F:K(x)]=[F:K(y)]=2g+1$

Eisenstein criteria in k(t)[X]

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