Remarques sur un article r'ecent de B. Poonen
| dc.creator | Colliot-Thélène, J-L. | |
| dc.date | 2008-09-08 | |
| dc.date.accessioned | 2026-07-07T10:01:25Z | |
| dc.date.available | 2026-07-07T10:01:25Z | |
| dc.description | B. Poonen recently produced smooth threefolds over a number field which do not have a rational point but have no Brauer-Manin obstruction even after descent to a finite 'etale cover. In this note I show that the varieties he produces have zero-cycles of degree 1. ----- B. Poonen a r'ecemment exhib'e des exemples de vari'et'es projectives et lisses de dimension 3 sur un corps de nombres qui n'ont pas de point rationnel et pour lesquelles il n'y a pas d'obstruction de Brauer-Manin apr`es rev^etement fini 'etale. Dans cette note, je montre que les vari'et'es qu'il construit poss`edent des z'ero-cycles de degr'e 1. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0809.1337 | |
| dc.identifier | http://arxiv.org/abs/0809.1337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168625 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G05; 14G25; 11G35 ; 14J20; 14F22 | |
| dc.title | Remarques sur un article r'ecent de B. Poonen | |
| dc.type | text |