Cohomologie non ramifiee;
zero-cycles;
applications residu;
corps finis;
CHOW GROUPS;
D O I:
10.24033/bsmf.2706
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let F be a finite field and let C be a smooth projective curve over F. We establish that the third unramified cohomology of the product X x C vanishes for some smooth projective surfaces X over F. This applies in particular to geometrically rational surfaces.
机构:
Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 305701, South KoreaKorea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 305701, South Korea
机构:
Univ Paris 11, Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, FranceUniv Paris 11, Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France