List questions from function-fields

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Commutators and abelianisations of congruence subgroups in function fields

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67

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

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128

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Connection between definitions in function fields and on curves

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Field Extension over the Field of Rational Functions is Finite

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45

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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 24 Mar 2026 - 20:33

55

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

Published on 24 Mar 2026 - 20:32

175

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

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218

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Computing the zeta function of curves over finite fields.

Published on 24 Mar 2026 - 20:36

140

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Meromorphic Functions on Riemann Surfaces

Published on 24 Mar 2026 - 20:31

143

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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 24 Mar 2026 - 20:32

112

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

Published on 10 May 2026 - 13:50

39

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Estimate for the genus of a global function field

Published on 24 Mar 2026 - 20:32

530

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A question about Integral Closures from Hartshorne Chapter 2 Exercise 6.4

Published on 24 Mar 2026 - 20:36

36

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Equivalence between valuations

Published on 05 Apr 2026 - 17:29

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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