Abstract
We use the motivic obstruction to stable rationality introduced by Shinder and the first-named author to establish several new classes of stably irrational hypersurfaces and complete intersections. In particular, we show that very general quartic fivefolds and complete intersections of a quadric and a cubic in are stably irrational. An important new ingredient is the use of tropical degeneration techniques.
Citation
Johannes Nicaise. John Christian Ottem. "Tropical degenerations and stable rationality." Duke Math. J. 171 (15) 3023 - 3075, 15 October 2022. https://doi.org/10.1215/00127094-2022-0065
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