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

2017/05/31 by Martin Bright, Julian Lyczak · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Brauer group #Commutative Algebra and Its Applications #Complement (music) #Degree (music) #Divisor (algebraic geometry) #Field (mathematics) #Upper and lower bounds #math.AG #math.NT #msc:14F22

paper · pdf · doi:10.1307/mmj/1550480562

published in The Michigan Mathematical Journal 68(2) (Institute of Mathematical Statistics) · Minor improvements to presentation

openalex created_date 2017/05/19 · arxiv created 2017/11/06 · openalex publication_date 2019/02/18 · arxiv updated 2019/03/06 · openalex updated_date 2026/08/05

Abstract

Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k.

Citations

• Bornes pour la torsion des courbes elliptiques sur les corps de nombres
• Effective bounds for Brauer groups of Kummer surfaces over number fields
• Algebraic Geometry