Diagonal del Pezzo of degree 2 with a Brauer-Manin obstruction

2024/05/17 by Harry C. Shaw, Shaw, Harry C.
Engineering · Mathematics · #11N37 (secondary) #14G12 (primary) 14G05 #Advanced Numerical Analysis Techniques #Advanced Surface Polishing Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2405.10693

openalex publication_date 2024/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give an asymptotic formula for the quantity of diagonal del Pezzo surfaces of degree 2 which have a Brauer-Manin obstruction to the Hasse principle when ordered by height.

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