Transcendental obstructions to weak approximation on general K3 surfaces |
| |
| Authors: | Brendan Hassett,Anthony Vá rilly-Alvarado,Patrick Varilly |
| |
| Affiliation: | aDepartment of Mathematics, Rice University, Houston, TX 77005, United States;bDepartment of Chemistry, University of California at Berkeley, Berkeley, CA 94720, United States |
| |
| Abstract: | We construct an explicit K3 surface over the field of rational numbers that has geometric Picard rank one, and for which there is a transcendental Brauer–Manin obstruction to weak approximation. To do so, we exploit the relationship between polarized K3 surfaces endowed with particular kinds of Brauer classes and cubic fourfolds. |
| |
| Keywords: | K3 surfaces Transcendental Brauer group Brauer&ndash Manin obstructions Cubic fourfolds Weak approximation |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
