Rational points on del Pezzo surfaces of degree four

2020/02/26 by Vladimir Mitankin, Cecília Salgado, Mitankin, Vladimir +1
Mathematics · #11D09 #11G35 #14D10 #14G05 (secondary) #14G12 (primary) #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2002.11539

openalex publication_date 2020/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the distribution of the Brauer group and the frequency of the Brauer--Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfaces of degree four over the rationals.

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