On The Hasse Principal for Complete Intersections

Date: 2021-04-21

Time: 11:10 - 11:40

Pankaj Vishe (Durham University) 

Let Xin P^{n-1}_Q be a smooth projective complete intersection variety defined by a system of two cubic polynomials. We prove that X satisfies the Hasse principle as long as n geq 40. The key ingredient here is the development of a Kloosterman refinement for complete intersections over Q. This is a joint work with Matthew Northey.