333 research outputs found

    Pathologies of the Brauer-Manin obstruction

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    Influence of temperature on pulsed focused laser beam testing

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    The temperature dependence of radiation-induced charge collection under 1.06 and 0.53 mu m focused laser beams is investigated in experiments and numerical simulation. The essential sensitivity of the collected charge to temperature was obtained only for a 1.06 mu m wavelength. (10 refs)

    Pseudo-split fibres and arithmetic surjectivity

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    Let f : X → Y be a dominant morphism of smooth, proper and geometrically integral varieties over a number field k, with geometrically integral generic fibre. We give a necessary and sufficient geometric criterion for the induced map X ( k v ) → Y ( k v ) to be surjective for almost all places v of k. This generalises a result of Denef which had previously been conjectured by Colliot-Th ́el`ene, and can be seen as an optimal geometric version of the celebrated Ax–Kochen theorem
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