Counting torsors for wild abelian groups
Ratko Darda, Takehiko Yasuda

TL;DR
This paper investigates the enumeration of G-torsors over global fields of characteristic p, focusing on specific height functions for finite abelian p-groups, extending previous theoretical frameworks.
Contribution
It introduces new methods for counting G-torsors over global fields using height functions, advancing the understanding of torsor distribution in positive characteristic.
Findings
Derived explicit formulas for counting G-torsors
Extended height-based counting techniques to new classes of abelian p-groups
Provided theoretical insights into torsor distribution over global fields
Abstract
Let be a global field of characteristic and a finite abelian -group. In this paper we treat the question of counting -torsors over for certain heights developed in [DY25].
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Taxonomy
TopicsAdvanced Topology and Set Theory · Limits and Structures in Graph Theory · Algebraic Geometry and Number Theory
