Counting torsors for wild abelian groups

2025/05/19 by Darda, Ratko, Yasuda, Takehiko
#11G50 #11R32 #11R45 #11S15 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2505.12784

Abstract

Let F be a global field of characteristic p > 0 and G a finite abelian p-group. In this paper we treat the question of counting G-torsors over F for certain heights developed in [DY25].

Citations

• Counting abelian extensions by Artin-Schreier conductor
• Asymptotics of extensions of simple \mathbb Q-algebras
• The Batyrev-Manin conjecture for DM stacks
• Poitou-Tate without restrictions on the order
• The density of discriminants of quintic rings and fields

Related

• Multivariate counting of wild abelian extensions
• Towers of torsors over a field
• Descente de torseurs, gerbes et points rationnels - Descent of torsors, gerbes and rational points
• Approximation theorems for classifying stacks over number fields
• Problems about torsors over regular rings (with an appendix by Yifei Zhao)