Pulse nav.journalClub Tendances Explorer Chercheurs

Download the App

Join discussions, follow papers, and never miss your next session.

Download on theApp Store

© Synapse Social LLC, 2026

Politique de confidentialité

Accueil Explorer nav.journalClub Tendances

⌘+K

Torsion in Abelian Fundamental Group and Its Application | Synapse

March 28, 2026

Torsion in Abelian Fundamental Group and Its Application

Key Points

To establish the finiteness of the torsion subgroup of the abelian fundamental group and explore its implications.
Proved the torsion subgroup's finiteness for regular geometrically integral projective varieties over local fields.
Analyzed the structure of SK1(X) for regular projective varieties X over local fields.
Investigated applications related to class field theory for regular projective curves.
Demonstrated that torsion subgroup is finite for specific projective varieties.
Found structural insights into SK1(X) related to local fields.
Derived class field theory results for regular projective curves over local fields.

Abstract

Abstract We prove that the torsion subgroup of the abelian fundamental group is finite for a regular geometrically integral projective variety over a local field. We also study the structure of SK₁ (X) for a regular projective variety X over a local field. As an application, we get class field theory for regular projective curves over local fields.

Like

Bookmark

Share

Cite This Study

Gupta et al. (Thu,) studied this question.

synapsesocial.com/papers/69c770f78bbfbc51511e0cbf https://doi.org/https://doi.org/10.1093/imrn/rnag052

Like

Bookmark

Share