Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme

2014/11/10 by Jörg Jahnel, Damaris Schindler, Jahnel, Jörg +1
Mathematics · #14J10 #14J26 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Primary 11G35 #Secondary 14G25 #math.AG #math.NT #msc:11G35 #msc:14G25 #msc:14J10 #msc:14J26

paper · pdf · doi:10.48550/arxiv.1411.2397

21 pages

arxiv created 2014/11/10 · openalex publication_date 2014/11/10 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that, over every number field, the degree four del Pezzo surfaces that violate the Hasse principle are Zariski dense in the moduli scheme.

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