pith. sign in

arxiv: 1212.0923 · v2 · pith:G6LHVJFYnew · submitted 2012-12-05 · 🧮 math.NT · math.AT· math.KT

Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields, II

Jordan S. Ellenberg , Akshay Venkatesh , Craig Westerland This is my paper
classification 🧮 math.NT math.ATmath.KT
keywords computeconjecturefieldsfunctionhurwitzspacesactionarithmetic
0
0 comments X
read the original abstract

We prove a version of the Cohen--Lenstra conjecture over function fields (completing the results of our prior paper). This is deduced from two more general theorems, one topological, one arithmetic: We compute the direct limit of homology, over puncture-stabilization, of spaces of maps from a punctured manifold to a fixed target; and we compute the Galois action on the set of stable components of Hurwitz schemes.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hurwitz spaces and Inverse Galois Theory

    math.NT 2026-01 accept novelty 2.0

    A survey of Hurwitz spaces in inverse Galois theory that reviews geometric and arithmetic developments and highlights recent constructions of rational components plus applications to heuristics over finite fields.