There are (many) smooth quartic threefolds over the complex field which are not stably rational. More precisely, their degree zero Chow group is not universally equal to ℤ. The proof uses a variation of a method due to C. Voisin. The specialisation argument we use yields examples defined over a number field.
|Number of pages||27|
|Journal||Annales Scientifiques de l'Ecole Normale Superieure|
|State||Published - 2016|
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