2020/06/12 by Aurélien Galateau, Galateau, Aurélien, César Martínez +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2006.07401
openalex publication_date 2020/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present classical and new results on the size of the subgroup of homotheties of ℓ-adic representations associated to the torsion of an abelian variety. From these estimates, we derive uniform and explicit bounds for the Manin-Mumford problem.