On the number of certain del Pezzo surfaces of degree four violating the Hasse principle

DOI10.1016/j.jnt.2015.10.018zbMath1454.11123arXiv1507.03869OpenAlexW2963480901MaRDI QIDQ907485

Damaris Schindler, Jörg Jahnel

Publication date: 25 January 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03869

zbMATH Keywords

del Pezzo surfaceHasse principleBrauer-Manin obstruction

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Geometric class field theory (11G45) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items (1)

On the Frequency of Algebraic Brauer Classes on Certain Log K3 Surfaces

Cites Work

• Hasse principle for intersections of two quadrics.
• Intersections of two quadrics and pencils of curves of genus 1
• The Cassels-Tate pairing on polarized Abelian varieties
• Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups
• Counter-examples to the Hasse principle among certain coflasque tori
• THE PROPORTION OF FAILURES OF THE HASSE NORM PRINCIPLE
• Representations of integers by systems of three quadratic forms
• Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme
• Density of Châtelet surfaces failing the Hasse principle
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