List questions from function-fields

39

Views

for arbitrary $y∈\Bbb{F}_q((X))^{sep}$, there exists $c∈\Bbb{F}_q((X))$ and $a∈\Bbb{F}_q((X))^{sep}$ such that $y＝ca^q$

Published on 06 Jul 2022 - 13:16

155

Views

Number of places of given degree in a global function field

Published on 14 Jul 2022 - 1:52

109

Views

What is the $ord_P$ function associated to $R$?

Published on 15 Jul 2022 - 17:54

145

Views

Confusion about the term "infinite prime"

Published on 18 Jul 2022 - 13:27

58

Views

Galois extension of function field with Galois group C_6

Published on 25 Jul 2022 - 21:32

105

Views

Riemann Roch over finite fields according to Weil

Published on 26 Jul 2022 - 14:38

67

Views

Adelic theta function over function fields

Published on 25 Mar 2026 - 15:45

59

Views

Inverse Galois Characteristic p

Published on 04 Oct 2022 - 3:16

167

Views

Traditional and modern approaches to class field theory

Published on 25 Mar 2026 - 21:31

117

Views

A question about the use of Silverman's Specialization Theorem

Published on 01 Dec 2022 - 8:07

47

Views

Is it possible to describe extension of places of a function field in MAGMA?

Published on 26 Mar 2026 - 1:18

113

Views

Do $L$-functions of varieties over function fields have analytic continuation / functional equations?

Published on 26 Mar 2026 - 1:26

23

Views

How to check if $f(X) \in F(g_1(X), \ldots, g_m(X))$?

Published on 25 Mar 2026 - 22:05

List Question

for arbitrary $y∈\Bbb{F}_q((X))^{sep}$, there exists $c∈\Bbb{F}_q((X))$ and $a∈\Bbb{F}_q((X))^{sep}$ such that $y＝ca^q$

Number of places of given degree in a global function field

What is the $ord_P$ function associated to $R$?

Confusion about the term "infinite prime"

Galois extension of function field with Galois group C_6

Riemann Roch over finite fields according to Weil

Adelic theta function over function fields

Inverse Galois Characteristic p

Traditional and modern approaches to class field theory

A question about the use of Silverman's Specialization Theorem

Is it possible to describe extension of places of a function field in MAGMA?

Do $L$-functions of varieties over function fields have analytic continuation / functional equations?

How to check if $f(X) \in F(g_1(X), \ldots, g_m(X))$?

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