On the Hasse Principle For Complete Intersections
(2024)
Journal Article
Northey, M. J., & Vishe, P. (2024). On the Hasse Principle For Complete Intersections. Compositio Mathematica, 160(4), 771-835. https://doi.org/10.1112/S0010437X23007698
We prove the Hasse principle for a smooth projective variety X ⊂ P n−1 Q defined by a system of two cubic forms F, G as long as n ≥ 39. The main tool here is the development of a version of Kloosterman refinement for a smooth system of equations defi... Read More about On the Hasse Principle For Complete Intersections.