The conductor density of local function fields with abelian Galois group

Autor: Klüners, Jürgen, Müller, Raphael
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: We give an exact formula for the number of $G$-extensions of local function fields $\mathbb{F}_q((t))$ for finite abelian groups $G$ up to a conductor bound. As an application we give a lower bound for the corresponding counting problem by discriminant.
Comment: New abstract, shortened and improved proofs
Databáze: arXiv