List questions from function-fields

115

Views

Is there any easy proof for this "weak version" of Mazur's theorem on the torsion group of $\mathbb{Q}$-elliptic curves?

Published on 14 May 2020 - 0:55

247

Views

Function field analogy

Published on 26 May 2020 - 1:59

110

Views

Genus $3$ curves with a couple of distinct points $P,Q$ such that $4P \sim 4Q$

Published on 30 May 2020 - 12:57

71

Views

Solubility of Cubic Equation over $\mathbb{F}_q[t]$

Published on 10 Jun 2020 - 13:36

604

Views

Residue fields at points on $\mathbb{A}^n$

Published on 14 Jun 2020 - 11:56

131

Views

A proof of existence of canonical divisors

Published on 24 Jun 2020 - 7:10

38

Views

Meaning of absolutely additive

Published on 27 Jul 2020 - 8:54

924

Views

Quotients of Elliptic Curves

Published on 11 Jul 2016 - 22:29

485

Views

Adeles for function fields

Published on 15 Jul 2016 - 9:33

374

Views

Geometric equivalent of the degree zero divisor class group of an algebraic function field (in the singular case)

Published on 25 Jul 2016 - 9:47

3.3k

Views

What are function fields?

Published on 03 Oct 2016 - 18:46

73

Views

Characterizing elements with same (function field) norm knowing principal divisors

Published on 18 Oct 2016 - 8:24

33

Views

Degree in Finite Extensions of $\mathbb{F}_q(X)$

Published on 19 Oct 2016 - 16:58

794

Views

Why does genus 0 imply that the function field has one generator?

Published on 17 Nov 2016 - 1:54

220

Views

Generating element of local ring in a purely inseparable extension

Published on 29 Nov 2016 - 13:41

List Question

Is there any easy proof for this "weak version" of Mazur's theorem on the torsion group of $\mathbb{Q}$-elliptic curves?

Function field analogy

Genus $3$ curves with a couple of distinct points $P,Q$ such that $4P \sim 4Q$

Solubility of Cubic Equation over $\mathbb{F}_q[t]$

Residue fields at points on $\mathbb{A}^n$

A proof of existence of canonical divisors

Meaning of absolutely additive

Quotients of Elliptic Curves

Adeles for function fields

Geometric equivalent of the degree zero divisor class group of an algebraic function field (in the singular case)

What are function fields?

Characterizing elements with same (function field) norm knowing principal divisors

Degree in Finite Extensions of $\mathbb{F}_q(X)$

Why does genus 0 imply that the function field has one generator?

Generating element of local ring in a purely inseparable extension

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