8 research outputs found

    Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces

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    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

    Local solubility for a family of quadrics over a split quadric surface

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    We study the density of everywhere locally soluble diagonal quadric surfaces, parameterised by rational points that lie on a split quadric surfac