List questions from function-fields

Published on 22 Mar 2026 - 20:33

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Commutators and abelianisations of congruence subgroups in function fields

Published on 20 Nov 2018 - 13:54

66

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$\mathbb{F}_q(t)$ vs $\mathbb{F}_q[t]$?

Published on 22 Mar 2026 - 15:20

127

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Connection between definitions in function fields and on curves

Published on 22 Mar 2026 - 20:29

2.1k

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Field Extension over the Field of Rational Functions is Finite

Published on 29 Nov 2018 - 22:56

44

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Let $K/F$ be a function field of genus $g\geq 2$, and $\deg(P)=1$. If $0\leq k\leq 2g - 2$ show there are $g$ values of $k$ s.t $l(kP) = l((k+1)P)$.

Published on 02 Dec 2018 - 21:45

54

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Unramified primes inside $\mathbb{F}_q(t)$

Published on 22 Mar 2026 - 20:18

174

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Finding all primes above $x-a_i$ in the function field $y^2=(x-a_1)\cdots (x-a_n)$

Published on 24 Dec 2018 - 13:51

217

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Computing the zeta function of curves over finite fields.

Published on 22 Mar 2026 - 20:42

139

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Meromorphic Functions on Riemann Surfaces

Published on 22 Mar 2026 - 11:55

142

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Computing the genus of the function field $y^l=(x-a_1)^{n_1}\cdots (x-a_m)^{n_m}$

Published on 27 Jan 2019 - 17:19

107

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Hensel's lemma for the completion of $\mathbb{F}_q(t)$

Published on 17 Mar 2026 - 16:00

38

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Estimate for the genus of a global function field

Published on 22 Mar 2026 - 15:56

529

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A question about Integral Closures from Hartshorne Chapter 2 Exercise 6.4

Published on 06 Mar 2019 - 18:28

34

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Equivalence between valuations

Published on 21 Mar 2026 - 22:49

List Question

Showing that a certain prime is a Weierstrass point

Commutators and abelianisations of congruence subgroups in function fields

$\mathbb{F}_q(t)$ vs $\mathbb{F}_q[t]$?

Connection between definitions in function fields and on curves

Field Extension over the Field of Rational Functions is Finite

Let $K/F$ be a function field of genus $g\geq 2$, and $\deg(P)=1$. If $0\leq k\leq 2g - 2$ show there are $g$ values of $k$ s.t $l(kP) = l((k+1)P)$.

Unramified primes inside $\mathbb{F}_q(t)$

Finding all primes above $x-a_i$ in the function field $y^2=(x-a_1)\cdots (x-a_n)$

Computing the zeta function of curves over finite fields.

Meromorphic Functions on Riemann Surfaces

Computing the genus of the function field $y^l=(x-a_1)^{n_1}\cdots (x-a_m)^{n_m}$

Hensel's lemma for the completion of $\mathbb{F}_q(t)$

Estimate for the genus of a global function field

A question about Integral Closures from Hartshorne Chapter 2 Exercise 6.4

Equivalence between valuations

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