1997/08/01 by Akio Tamagawa · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Advanced Algebra and Geometry #Mathematics #Affine transformation #Pure mathematics #Isomorphism (crystallography) #Field (mathematics) #Affine group #Function field #Class (philosophy)
paper · pdf · doi:10.1023/a:1000114400142
openalex publication_date 1997/08/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We prove that the isomorphism class of an affine hyperbolic curve defined over a field finitely generated over \bb Q is completely determined by its arithmetic fundamental group. We also prove a similar result for an affine curve defined over a finite field.