2014/12/10 by Adam Harris, Harris, Adam · 1 citation
Computer Science · Mathematics · #03C35 (Secondary) #11G18 (Primary) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Number Theory (math.NT) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1412.3484
openalex publication_date 2014/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This thesis develops some of the basic model theory of covers of algebraic curves. In particular, an equivalence between the good model-theoretic behaviour of the modular j-function, and the openness of certain Galois representations in the Tate-modules of abelian varieties is described.