Order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>5</mml:mn></mml:math> Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces

Julian Lyczak

Type: Article

Publication Date: 2022-09-12

Citations: 0

DOI: https://doi.org/10.5802/aif.3529

Abstract

We construct families of log K3 surfaces and study the arithmetic of their members. We use this to produce explicit surfaces with an order 5 Brauer–Manin obstruction to the integral Hasse principle.

Locations

arXiv (Cornell University) - View - PDF
Annales de l’institut Fourier - View - PDF

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Works Cited by This (25)

Action	Title	Year	Authors
+	Cubic Forms - Algebra, Geometry, Arithmetic	1986	Michiel Hazewinkel I︠u︡. I. Manin
+	Le groupe de Brauer	1966	Alexandre Grothendieck
+	Algorithms for Del Pezzo surfaces of degree 5 (construction, parametrization)	2011	Jon González‐Sánchez Michael Harrison Irene Polo-Blanco Josef Schicho
+ PDF Chat	Sulle irrazionalit� da cui pu� farsi dipendere la risoluzione d'un' equazione algebricaf(xyz)=0 con funzioni razionali di due parametri	1897	Federigo Enriquès
+ PDF Chat	Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms	2009	Jean-Louis Colliot-Thélène Fei Xu
+ PDF Chat	Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines	2012	Jean-Louis Colliot-Thélène Olivier Wittenberg
+ PDF Chat	On a theorem of Enriques - Swinnerton-Dyer	1993	Alexei N. Skorobogatov
+ PDF Chat	Efficient evaluation of the Brauer–Manin obstruction	2007	Martin Bright
+	Odd order Brauer–Manin obstruction on diagonal quartic surfaces	2014	Evis Ieronymou Alexei N. Skorobogatov
+	Computations on diagonal quartic surfaces	2002	Martin Bright