A local-global principle for torsors under geometric prosolvable fundamental groups II

TL;DR

This paper establishes a local-global principle for torsors under the prosolvable geometric fundamental group of affine curves over number fields, advancing understanding in arithmetic geometry.

Contribution

It proves a new local-global principle specifically for torsors under prosolvable fundamental groups of affine curves over number fields.

Findings

Proves a local-global principle for torsors under prosolvable fundamental groups.

Extends arithmetic geometry by linking local properties to global structures.

Provides foundational results for further research in torsors and fundamental groups.

Abstract

We prove a local-global principle for torsors under the prosolvable geometric fundamental group of an affine curve over a number field.