TL;DR
This paper explains Rosenlicht's geometric class field theory, which classifies abelian coverings of smooth, projective, geometrically connected curves over perfect fields, providing foundational insights into algebraic geometry.
Contribution
It offers an expository overview of Rosenlicht's work, clarifying the classification of abelian coverings in the context of geometric class field theory.
Findings
Classification of abelian coverings of curves
Connection between coverings and class field theory
Foundational insights into algebraic geometry
Abstract
In this expository article we present Rosenlicht's work on geometric class field theory, which classifies abelian coverings of smooth, projective, geometrically connected curves over perfect fields.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Finite Group Theory Research · Advanced Algebra and Geometry