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Specialization of stable rationality

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Specialization of stable rationality
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Motivic specialization and rationality problems.
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8
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will discuss an ongoing project with John Christian Ottem to find new examples of stably irrational hypersurfaces by combining the specialization results obtained with Evgeny Shinder with tropical compactification techniques. The guiding example will be the quartic fivefold.