Rational approximation on cubic hypersurfaces
Algebraic Geometry
2023-10-04 v1 Number Theory
Abstract
We compute the constant of approximation for an arbitrary rational point on an arbitrary smooth cubic hypersurface over a number field , provided that there is a -rational line somewhere on . In the process, we verify the Coba conjecture for .
Cite
@article{arxiv.2310.01640,
title = {Rational approximation on cubic hypersurfaces},
author = {David McKinnon},
journal= {arXiv preprint arXiv:2310.01640},
year = {2023}
}