Originalversjon
Duke mathematical journal. 2022, 171 (15), 3023-3075, DOI: https://doi.org/10.1215/00127094-2022-0065
Sammendrag
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 P6 are stably irrational. An important new ingredient is the use of tropical degeneration techniques.