TY - JOUR
T1 - Hypersurfaces quartiques de dimension 3
T2 - Non-rationalité stable
AU - Colliot-Thélène, Jean Louis
AU - Pirutka, Alena
N1 - Publisher Copyright:
© 2016 Société Mathématique de France.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84987951282&partnerID=8YFLogxK
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U2 - 10.24033/asens.2285
DO - 10.24033/asens.2285
M3 - Article
AN - SCOPUS:84987951282
SN - 0012-9593
VL - 49
SP - 371
EP - 397
JO - Annales Scientifiques de l'Ecole Normale Superieure
JF - Annales Scientifiques de l'Ecole Normale Superieure
IS - 2
ER -