List questions from function-fields

Published on 23 Nov 2014 - 11:52

176

Views

Unramified Galois extension of a function field of a curve - definition

Published on 02 Dec 2014 - 16:52

763

Views

Infinite places of a global function field

Published on 17 Oct 2019 - 15:55

217

Views

Definition of a valuation on the points of an elliptic curves

Published on 21 Oct 2019 - 16:42

60

Views

Exact sequence of Riemann-Roch spaces and adeles

Published on 27 Oct 2019 - 10:01

88

Views

For every function field $F/K$ there exists $x\in F$ with $F/K(x)$ separable

Published on 17 Nov 2019 - 0:40

35

Views

$\mathcal{O}_S$ holomorphy ring, $S$ containing almost all places $\Rightarrow O_S=K[x_1,...,x_r]$

Published on 19 Nov 2019 - 21:27

65

Views

Checking the Hasse-Weil bound for genus zero

Published on 22 Nov 2019 - 21:24

109

Views

$f(t,x)$ irreducible, unsolvable over $\mathbb Q(t)$ such that its specialization $f(t_0,t)$ over $\mathbb Q$ is inseparable and (un)solvable.

Published on 09 Dec 2019 - 5:37

180

Views

transcendental extension $\mathbb{C}(x)$ over $\mathbb{C}$, finding fixed field

Published on 12 Dec 2019 - 7:43

42

Views

Imaginary quadratic extensions in characteristic 2

Published on 17 Feb 2020 - 2:18

143

Views

Books for function fields and algebraic curves

Published on 13 Apr 2020 - 16:30

69

Views

What is the number/structure of units in a function field over $\mathbb{F}_q$?

Published on 22 Apr 2020 - 22:07

64

Views

Algebraic closure of completions in function fields

Published on 23 Apr 2020 - 14:01

95

Views

Understanding the group of divisors of a function field and when two extensions of function fields isomorphic

Published on 01 May 2020 - 18:38

List Question

When a holomorphy ring is a PID?

Unramified Galois extension of a function field of a curve - definition

Infinite places of a global function field

Definition of a valuation on the points of an elliptic curves

Exact sequence of Riemann-Roch spaces and adeles

For every function field $F/K$ there exists $x\in F$ with $F/K(x)$ separable

$\mathcal{O}_S$ holomorphy ring, $S$ containing almost all places $\Rightarrow O_S=K[x_1,...,x_r]$

Checking the Hasse-Weil bound for genus zero

$f(t,x)$ irreducible, unsolvable over $\mathbb Q(t)$ such that its specialization $f(t_0,t)$ over $\mathbb Q$ is inseparable and (un)solvable.

transcendental extension $\mathbb{C}(x)$ over $\mathbb{C}$, finding fixed field

Imaginary quadratic extensions in characteristic 2

Books for function fields and algebraic curves

What is the number/structure of units in a function field over $\mathbb{F}_q$?

Algebraic closure of completions in function fields

Understanding the group of divisors of a function field and when two extensions of function fields isomorphic

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