Letter to M. Tsfasman. (Lettre à M. Tsfasman.) (French) Zbl 0758.14008
Journées arithmétiques, Exp. Congr., Luminy/Fr. 1989, Astérisque 198-200, 351-353 (1991).
[For the entire collection see Zbl 0743.00058.]
This letter gives an upper bound for the number of rational points (over a finite field) on a hypersurface (of given degree) in projective space. The maximum is attained by a union of hyperplanes.
This letter gives an upper bound for the number of rational points (over a finite field) on a hypersurface (of given degree) in projective space. The maximum is attained by a union of hyperplanes.
Reviewer: G.Faltings (Princeton)
MSC:
| 14G15 | Finite ground fields in algebraic geometry |
| 14J70 | Hypersurfaces and algebraic geometry |
| 14N10 | Enumerative problems (combinatorial problems) in algebraic geometry |
