Let K = Func(C) be the function field of a smooth curve C. For every Del Pezzo surface S/K which is an appropriately generic, weak approximation for S holds at every place of K, i.e., for every closed point c of C. This combines earlier work in (arXiv:0810.2597) with an analysis of weak approximation near boundary points of the parameter spaces for Del Pezzo surfaces of degrees 1 and 2.
|Original language||English (US)|
|Number of pages||15|
|Journal||Journal of Algebraic Geometry|
|State||Published - 2012|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology