Effective bounds for Brauer groups of Kummer surfaces over number fields

2016/06/30 by Victoria Cantoral‐Farfán, Victoria Cantoral-Farfán, Yunqing Tang +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Brauer group #Combinatorics #Mathematics #Pure mathematics #math.AG #math.NT

paper · pdf · doi:10.1112/jlms.12118

37 pages; an error in an example is fixed; Magma code is included at the end of the source file

arxiv created 2016/11/02 · openalex publication_date 2018/03/28 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We study effective bounds for Brauer groups of Kummer surfaces associated to Jacobians of genus 2 curves defined over number fields.

Citations

• Weak approximation on del Pezzo surfaces of degree 1
• Endomorphisms of abelian varieties over finite fields
• Serre’s modularity conjecture (II)
• A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties
• Serre’s modularity conjecture (I)

Cited by

• A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces