Astuce de Salberger et Zero-cycles Sur Certaines Fibrations

作者：Liang Yongqi^*

来源：International Mathematics Research Notices, 2013, (3): 665-692.

DOI：10.1093/imrn/rns003

We prove that the Brauer-Manin obstruction is the only obstruction to the Hasse principle and to weak approximation for zero-cycles on certain fibrations over a smooth curve or over the projective space. The exactness of a sequence of global-local type for Chow groups of zero-cycles is also established for these varieties. The principal novelty is that the arithmetic hypotheses are supposed only on the fibers over a generalized Hilbertian subset, moreover, we permit the existence of geometrically non integral fibers.

• 出版日期2013