Vanishing of the Brauer group of a del Pezzo surface of degree 4

DOI10.1016/j.jnt.2020.03.008zbMath1453.14073arXiv1907.08810OpenAlexW3022965277MaRDI QIDQ2187134

Manar Riman

Publication date: 2 June 2020

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

Full work available at URL: https://arxiv.org/abs/1907.08810

zbMATH Keywords

quaternion algebrasdel Pezzo surfacesBrauer group

Mathematics Subject Classification ID

Brauer groups of schemes (14F22) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Cites Work

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• On the order three Brauer classes for cubic surfaces
• Intersections of two quadrics and pencils of curves of genus 1
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• Arithmetic of Del Pezzo surfaces
• Descente galoisienne sur le groupe de Brauer
• On the Brauer-Manin obstruction for cubic surfaces
• ON THE BRAUER GROUP OF DIAGONAL CUBIC SURFACES
• The Brauer-Manin Obstruction and III[2]
• Rational Points on Varieties
• Del Pezzo surfaces of degree four
• The Brauer group of cubic surfaces
• The Brauer-Manin obstruction on Del Pezzo surfaces of degree 2
• On the Brauer group of affine diagonal quadrics

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