Abstract
We prove that a smooth cubic surface over the field of functions of a curve on an algebraically closed field of characteristic 0 satisfies weak approximation at places of good reduction. The method used imitates that employed by Swinnerton-Dyer [10] in the case of number fields.
| Translated title of the contribution | Weak approximation at places of good reduction on cubic surfaces over function fields |
|---|---|
| Original language | French |
| Pages (from-to) | 475-485 |
| Number of pages | 11 |
| Journal | Bulletin de la Societe Mathematique de France |
| Volume | 134 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jan 2006 |